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Finding the Third Proportional to 41,744.25 and 98,442

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Solution

The third proportional to 41,744.25 and 98,442 is: 232,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,744.25 : 98,442 = 98,442 : x
  2. Step 2: Convert to fraction form
    41,744.25/98,442 = 98,442/x
  3. Step 3: Cross multiply
    41,744.25x = 98,442 × 98,442
  4. Step 4: Simplify right side
    41,744.25x = 9,690,827,364
  5. Step 5: Solve for x
    x = 9,690,827,364/41,744.25
  6. Step 6: Final answer
    x = 232,147.60

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.