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Finding the Third Proportional to 125,154 and 268,115

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Solution

The third proportional to 125,154 and 268,115 is: 574,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,154 : 268,115 = 268,115 : x
  2. Step 2: Convert to fraction form
    125,154/268,115 = 268,115/x
  3. Step 3: Cross multiply
    125,154x = 268,115 × 268,115
  4. Step 4: Simplify right side
    125,154x = 71,885,653,225
  5. Step 5: Solve for x
    x = 71,885,653,225/125,154
  6. Step 6: Final answer
    x = 574,377.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.