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Finding the Third Proportional to 110,029.50 and 166,097.25

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Solution

The third proportional to 110,029.50 and 166,097.25 is: 250,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,029.50 : 166,097.25 = 166,097.25 : x
  2. Step 2: Convert to fraction form
    110,029.50/166,097.25 = 166,097.25/x
  3. Step 3: Cross multiply
    110,029.50x = 166,097.25 × 166,097.25
  4. Step 4: Simplify right side
    110,029.50x = 27,588,296,457.56
  5. Step 5: Solve for x
    x = 27,588,296,457.56/110,029.50
  6. Step 6: Final answer
    x = 250,735.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.