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Finding the Third Proportional to 87,464 and 189,424

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Solution

The third proportional to 87,464 and 189,424 is: 410,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,464 : 189,424 = 189,424 : x
  2. Step 2: Convert to fraction form
    87,464/189,424 = 189,424/x
  3. Step 3: Cross multiply
    87,464x = 189,424 × 189,424
  4. Step 4: Simplify right side
    87,464x = 35,881,451,776
  5. Step 5: Solve for x
    x = 35,881,451,776/87,464
  6. Step 6: Final answer
    x = 410,242.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.