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Finding the Third Proportional to 60,331 and 128,675

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Solution

The third proportional to 60,331 and 128,675 is: 274,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,331 : 128,675 = 128,675 : x
  2. Step 2: Convert to fraction form
    60,331/128,675 = 128,675/x
  3. Step 3: Cross multiply
    60,331x = 128,675 × 128,675
  4. Step 4: Simplify right side
    60,331x = 16,557,255,625
  5. Step 5: Solve for x
    x = 16,557,255,625/60,331
  6. Step 6: Final answer
    x = 274,440.26

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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.