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Finding the Third Proportional to 125,497 and 244,689

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Solution

The third proportional to 125,497 and 244,689 is: 477,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,497 : 244,689 = 244,689 : x
  2. Step 2: Convert to fraction form
    125,497/244,689 = 244,689/x
  3. Step 3: Cross multiply
    125,497x = 244,689 × 244,689
  4. Step 4: Simplify right side
    125,497x = 59,872,706,721
  5. Step 5: Solve for x
    x = 59,872,706,721/125,497
  6. Step 6: Final answer
    x = 477,084.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.