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Finding the Third Proportional to 60,425 and 129,596

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Solution

The third proportional to 60,425 and 129,596 is: 277,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,425 : 129,596 = 129,596 : x
  2. Step 2: Convert to fraction form
    60,425/129,596 = 129,596/x
  3. Step 3: Cross multiply
    60,425x = 129,596 × 129,596
  4. Step 4: Simplify right side
    60,425x = 16,795,123,216
  5. Step 5: Solve for x
    x = 16,795,123,216/60,425
  6. Step 6: Final answer
    x = 277,949.91

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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.