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Finding the Third Proportional to 110,867.50 and 166,130

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Solution

The third proportional to 110,867.50 and 166,130 is: 248,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,867.50 : 166,130 = 166,130 : x
  2. Step 2: Convert to fraction form
    110,867.50/166,130 = 166,130/x
  3. Step 3: Cross multiply
    110,867.50x = 166,130 × 166,130
  4. Step 4: Simplify right side
    110,867.50x = 27,599,176,900
  5. Step 5: Solve for x
    x = 27,599,176,900/110,867.50
  6. Step 6: Final answer
    x = 248,938.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.