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Finding the Third Proportional to 87,499 and 191,036

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Solution

The third proportional to 87,499 and 191,036 is: 417,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,499 : 191,036 = 191,036 : x
  2. Step 2: Convert to fraction form
    87,499/191,036 = 191,036/x
  3. Step 3: Cross multiply
    87,499x = 191,036 × 191,036
  4. Step 4: Simplify right side
    87,499x = 36,494,753,296
  5. Step 5: Solve for x
    x = 36,494,753,296/87,499
  6. Step 6: Final answer
    x = 417,087.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.