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Finding the Third Proportional to 87,350 and 189,532

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Solution

The third proportional to 87,350 and 189,532 is: 411,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,350 : 189,532 = 189,532 : x
  2. Step 2: Convert to fraction form
    87,350/189,532 = 189,532/x
  3. Step 3: Cross multiply
    87,350x = 189,532 × 189,532
  4. Step 4: Simplify right side
    87,350x = 35,922,379,024
  5. Step 5: Solve for x
    x = 35,922,379,024/87,350
  6. Step 6: Final answer
    x = 411,246.47

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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.