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Finding the Third Proportional to 61,008 and 129,792

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Solution

The third proportional to 61,008 and 129,792 is: 276,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,008 : 129,792 = 129,792 : x
  2. Step 2: Convert to fraction form
    61,008/129,792 = 129,792/x
  3. Step 3: Cross multiply
    61,008x = 129,792 × 129,792
  4. Step 4: Simplify right side
    61,008x = 16,845,963,264
  5. Step 5: Solve for x
    x = 16,845,963,264/61,008
  6. Step 6: Final answer
    x = 276,127.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.