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Finding the Third Proportional to 41,563 and 88,317

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Solution

The third proportional to 41,563 and 88,317 is: 187,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563 : 88,317 = 88,317 : x
  2. Step 2: Convert to fraction form
    41,563/88,317 = 88,317/x
  3. Step 3: Cross multiply
    41,563x = 88,317 × 88,317
  4. Step 4: Simplify right side
    41,563x = 7,799,892,489
  5. Step 5: Solve for x
    x = 7,799,892,489/41,563
  6. Step 6: Final answer
    x = 187,664.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.