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Finding the Third Proportional to 60,781.13 and 132,201.38

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Solution

The third proportional to 60,781.13 and 132,201.38 is: 287,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,781.13 : 132,201.38 = 132,201.38 : x
  2. Step 2: Convert to fraction form
    60,781.13/132,201.38 = 132,201.38/x
  3. Step 3: Cross multiply
    60,781.13x = 132,201.38 × 132,201.38
  4. Step 4: Simplify right side
    60,781.13x = 17,477,203,551.89
  5. Step 5: Solve for x
    x = 17,477,203,551.89/60,781.13
  6. Step 6: Final answer
    x = 287,543.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.