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Finding the Third Proportional to 125,654 and 268,687

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Solution

The third proportional to 125,654 and 268,687 is: 574,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,654 : 268,687 = 268,687 : x
  2. Step 2: Convert to fraction form
    125,654/268,687 = 268,687/x
  3. Step 3: Cross multiply
    125,654x = 268,687 × 268,687
  4. Step 4: Simplify right side
    125,654x = 72,192,703,969
  5. Step 5: Solve for x
    x = 72,192,703,969/125,654
  6. Step 6: Final answer
    x = 574,535.66

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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.