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Finding the Third Proportional to 125,600 and 276,472

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Solution

The third proportional to 125,600 and 276,472 is: 608,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,600 : 276,472 = 276,472 : x
  2. Step 2: Convert to fraction form
    125,600/276,472 = 276,472/x
  3. Step 3: Cross multiply
    125,600x = 276,472 × 276,472
  4. Step 4: Simplify right side
    125,600x = 76,436,766,784
  5. Step 5: Solve for x
    x = 76,436,766,784/125,600
  6. Step 6: Final answer
    x = 608,572.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.