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Finding the Third Proportional to 125,928 and 272,154

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Solution

The third proportional to 125,928 and 272,154 is: 588,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,928 : 272,154 = 272,154 : x
  2. Step 2: Convert to fraction form
    125,928/272,154 = 272,154/x
  3. Step 3: Cross multiply
    125,928x = 272,154 × 272,154
  4. Step 4: Simplify right side
    125,928x = 74,067,799,716
  5. Step 5: Solve for x
    x = 74,067,799,716/125,928
  6. Step 6: Final answer
    x = 588,175.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.