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Finding the Third Proportional to 87,564 and 195,540

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Solution

The third proportional to 87,564 and 195,540 is: 436,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,564 : 195,540 = 195,540 : x
  2. Step 2: Convert to fraction form
    87,564/195,540 = 195,540/x
  3. Step 3: Cross multiply
    87,564x = 195,540 × 195,540
  4. Step 4: Simplify right side
    87,564x = 38,235,891,600
  5. Step 5: Solve for x
    x = 38,235,891,600/87,564
  6. Step 6: Final answer
    x = 436,662.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.