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Finding the Third Proportional to 107,871.75 and 161,191.69

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Solution

The third proportional to 107,871.75 and 161,191.69 is: 240,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,871.75 : 161,191.69 = 161,191.69 : x
  2. Step 2: Convert to fraction form
    107,871.75/161,191.69 = 161,191.69/x
  3. Step 3: Cross multiply
    107,871.75x = 161,191.69 × 161,191.69
  4. Step 4: Simplify right side
    107,871.75x = 25,982,760,119.10
  5. Step 5: Solve for x
    x = 25,982,760,119.10/107,871.75
  6. Step 6: Final answer
    x = 240,867.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.