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Finding the Third Proportional to 125,493 and 244,681

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Solution

The third proportional to 125,493 and 244,681 is: 477,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,493 : 244,681 = 244,681 : x
  2. Step 2: Convert to fraction form
    125,493/244,681 = 244,681/x
  3. Step 3: Cross multiply
    125,493x = 244,681 × 244,681
  4. Step 4: Simplify right side
    125,493x = 59,868,791,761
  5. Step 5: Solve for x
    x = 59,868,791,761/125,493
  6. Step 6: Final answer
    x = 477,068.77

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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.