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Finding the Third Proportional to 87,658 and 191,684

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Solution

The third proportional to 87,658 and 191,684 is: 419,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,658 : 191,684 = 191,684 : x
  2. Step 2: Convert to fraction form
    87,658/191,684 = 191,684/x
  3. Step 3: Cross multiply
    87,658x = 191,684 × 191,684
  4. Step 4: Simplify right side
    87,658x = 36,742,755,856
  5. Step 5: Solve for x
    x = 36,742,755,856/87,658
  6. Step 6: Final answer
    x = 419,160.33

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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.