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Finding the Third Proportional to 125,494 and 244,682

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Solution

The third proportional to 125,494 and 244,682 is: 477,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,494 : 244,682 = 244,682 : x
  2. Step 2: Convert to fraction form
    125,494/244,682 = 244,682/x
  3. Step 3: Cross multiply
    125,494x = 244,682 × 244,682
  4. Step 4: Simplify right side
    125,494x = 59,869,281,124
  5. Step 5: Solve for x
    x = 59,869,281,124/125,494
  6. Step 6: Final answer
    x = 477,068.87

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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.