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Finding the Third Proportional to 87,564 and 170,752.50

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Solution

The third proportional to 87,564 and 170,752.50 is: 332,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,564 : 170,752.50 = 170,752.50 : x
  2. Step 2: Convert to fraction form
    87,564/170,752.50 = 170,752.50/x
  3. Step 3: Cross multiply
    87,564x = 170,752.50 × 170,752.50
  4. Step 4: Simplify right side
    87,564x = 29,156,416,256.25
  5. Step 5: Solve for x
    x = 29,156,416,256.25/87,564
  6. Step 6: Final answer
    x = 332,972.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.