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Finding the Third Proportional to 31,242.38 and 67,101.75

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Solution

The third proportional to 31,242.38 and 67,101.75 is: 144,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.38 : 67,101.75 = 67,101.75 : x
  2. Step 2: Convert to fraction form
    31,242.38/67,101.75 = 67,101.75/x
  3. Step 3: Cross multiply
    31,242.38x = 67,101.75 × 67,101.75
  4. Step 4: Simplify right side
    31,242.38x = 4,502,644,853.06
  5. Step 5: Solve for x
    x = 4,502,644,853.06/31,242.38
  6. Step 6: Final answer
    x = 144,119.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.