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Finding the Third Proportional to 60,576 and 129,792

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Solution

The third proportional to 60,576 and 129,792 is: 278,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,576 : 129,792 = 129,792 : x
  2. Step 2: Convert to fraction form
    60,576/129,792 = 129,792/x
  3. Step 3: Cross multiply
    60,576x = 129,792 × 129,792
  4. Step 4: Simplify right side
    60,576x = 16,845,963,264
  5. Step 5: Solve for x
    x = 16,845,963,264/60,576
  6. Step 6: Final answer
    x = 278,096.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.