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Finding the Third Proportional to 76,049 and 169,567

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Solution

The third proportional to 76,049 and 169,567 is: 378,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049 : 169,567 = 169,567 : x
  2. Step 2: Convert to fraction form
    76,049/169,567 = 169,567/x
  3. Step 3: Cross multiply
    76,049x = 169,567 × 169,567
  4. Step 4: Simplify right side
    76,049x = 28,752,967,489
  5. Step 5: Solve for x
    x = 28,752,967,489/76,049
  6. Step 6: Final answer
    x = 378,084.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.