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Finding the Third Proportional to 67,665.38 and 146,161.13

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Solution

The third proportional to 67,665.38 and 146,161.13 is: 315,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,665.38 : 146,161.13 = 146,161.13 : x
  2. Step 2: Convert to fraction form
    67,665.38/146,161.13 = 146,161.13/x
  3. Step 3: Cross multiply
    67,665.38x = 146,161.13 × 146,161.13
  4. Step 4: Simplify right side
    67,665.38x = 21,363,074,461.27
  5. Step 5: Solve for x
    x = 21,363,074,461.27/67,665.38
  6. Step 6: Final answer
    x = 315,716.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.