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Finding the Third Proportional to 107,029.50 and 166,672.50

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Solution

The third proportional to 107,029.50 and 166,672.50 is: 259,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,029.50 : 166,672.50 = 166,672.50 : x
  2. Step 2: Convert to fraction form
    107,029.50/166,672.50 = 166,672.50/x
  3. Step 3: Cross multiply
    107,029.50x = 166,672.50 × 166,672.50
  4. Step 4: Simplify right side
    107,029.50x = 27,779,722,256.25
  5. Step 5: Solve for x
    x = 27,779,722,256.25/107,029.50
  6. Step 6: Final answer
    x = 259,552.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.