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Finding the Third Proportional to 87,648 and 191,972

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Solution

The third proportional to 87,648 and 191,972 is: 420,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,648 : 191,972 = 191,972 : x
  2. Step 2: Convert to fraction form
    87,648/191,972 = 191,972/x
  3. Step 3: Cross multiply
    87,648x = 191,972 × 191,972
  4. Step 4: Simplify right side
    87,648x = 36,853,248,784
  5. Step 5: Solve for x
    x = 36,853,248,784/87,648
  6. Step 6: Final answer
    x = 420,468.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.