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Finding the Third Proportional to 60,534 and 129,375

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Solution

The third proportional to 60,534 and 129,375 is: 276,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,534 : 129,375 = 129,375 : x
  2. Step 2: Convert to fraction form
    60,534/129,375 = 129,375/x
  3. Step 3: Cross multiply
    60,534x = 129,375 × 129,375
  4. Step 4: Simplify right side
    60,534x = 16,737,890,625
  5. Step 5: Solve for x
    x = 16,737,890,625/60,534
  6. Step 6: Final answer
    x = 276,503.96

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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.