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Finding the Third Proportional to 41,996 and 88,730

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Solution

The third proportional to 41,996 and 88,730 is: 187,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,996 : 88,730 = 88,730 : x
  2. Step 2: Convert to fraction form
    41,996/88,730 = 88,730/x
  3. Step 3: Cross multiply
    41,996x = 88,730 × 88,730
  4. Step 4: Simplify right side
    41,996x = 7,873,012,900
  5. Step 5: Solve for x
    x = 7,873,012,900/41,996
  6. Step 6: Final answer
    x = 187,470.54

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