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Finding the Third Proportional to 41,882 and 88,420

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Solution

The third proportional to 41,882 and 88,420 is: 186,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882 : 88,420 = 88,420 : x
  2. Step 2: Convert to fraction form
    41,882/88,420 = 88,420/x
  3. Step 3: Cross multiply
    41,882x = 88,420 × 88,420
  4. Step 4: Simplify right side
    41,882x = 7,818,096,400
  5. Step 5: Solve for x
    x = 7,818,096,400/41,882
  6. Step 6: Final answer
    x = 186,669.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.