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Finding the Third Proportional to 85,566.38 and 132,040.13

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Solution

The third proportional to 85,566.38 and 132,040.13 is: 203,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,566.38 : 132,040.13 = 132,040.13 : x
  2. Step 2: Convert to fraction form
    85,566.38/132,040.13 = 132,040.13/x
  3. Step 3: Cross multiply
    85,566.38x = 132,040.13 × 132,040.13
  4. Step 4: Simplify right side
    85,566.38x = 17,434,594,610.02
  5. Step 5: Solve for x
    x = 17,434,594,610.02/85,566.38
  6. Step 6: Final answer
    x = 203,755.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.