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Finding the Third Proportional to 48,241.13 and 74,233.69

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Solution

The third proportional to 48,241.13 and 74,233.69 is: 114,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,241.13 : 74,233.69 = 74,233.69 : x
  2. Step 2: Convert to fraction form
    48,241.13/74,233.69 = 74,233.69/x
  3. Step 3: Cross multiply
    48,241.13x = 74,233.69 × 74,233.69
  4. Step 4: Simplify right side
    48,241.13x = 5,510,640,359.85
  5. Step 5: Solve for x
    x = 5,510,640,359.85/48,241.13
  6. Step 6: Final answer
    x = 114,231.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.