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Finding the Third Proportional to 41,714.13 and 86,385.43

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Solution

The third proportional to 41,714.13 and 86,385.43 is: 178,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,714.13 : 86,385.43 = 86,385.43 : x
  2. Step 2: Convert to fraction form
    41,714.13/86,385.43 = 86,385.43/x
  3. Step 3: Cross multiply
    41,714.13x = 86,385.43 × 86,385.43
  4. Step 4: Simplify right side
    41,714.13x = 7,462,442,884.10
  5. Step 5: Solve for x
    x = 7,462,442,884.10/41,714.13
  6. Step 6: Final answer
    x = 178,894.85

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.