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Finding the Third Proportional to 40,563 and 88,443

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Solution

The third proportional to 40,563 and 88,443 is: 192,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,563 : 88,443 = 88,443 : x
  2. Step 2: Convert to fraction form
    40,563/88,443 = 88,443/x
  3. Step 3: Cross multiply
    40,563x = 88,443 × 88,443
  4. Step 4: Simplify right side
    40,563x = 7,822,164,249
  5. Step 5: Solve for x
    x = 7,822,164,249/40,563
  6. Step 6: Final answer
    x = 192,839.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.