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Finding the Third Proportional to 60,560 and 129,824

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Solution

The third proportional to 60,560 and 129,824 is: 278,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,560 : 129,824 = 129,824 : x
  2. Step 2: Convert to fraction form
    60,560/129,824 = 129,824/x
  3. Step 3: Cross multiply
    60,560x = 129,824 × 129,824
  4. Step 4: Simplify right side
    60,560x = 16,854,270,976
  5. Step 5: Solve for x
    x = 16,854,270,976/60,560
  6. Step 6: Final answer
    x = 278,306.98

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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.