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Finding the Third Proportional to 61,682.81 and 132,721.13

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Solution

The third proportional to 61,682.81 and 132,721.13 is: 285,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,682.81 : 132,721.13 = 132,721.13 : x
  2. Step 2: Convert to fraction form
    61,682.81/132,721.13 = 132,721.13/x
  3. Step 3: Cross multiply
    61,682.81x = 132,721.13 × 132,721.13
  4. Step 4: Simplify right side
    61,682.81x = 17,614,897,021.27
  5. Step 5: Solve for x
    x = 17,614,897,021.27/61,682.81
  6. Step 6: Final answer
    x = 285,572.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.