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Finding the Third Proportional to 67,867.24 and 146,139.82

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Solution

The third proportional to 67,867.24 and 146,139.82 is: 314,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,867.24 : 146,139.82 = 146,139.82 : x
  2. Step 2: Convert to fraction form
    67,867.24/146,139.82 = 146,139.82/x
  3. Step 3: Cross multiply
    67,867.24x = 146,139.82 × 146,139.82
  4. Step 4: Simplify right side
    67,867.24x = 21,356,847,080.97
  5. Step 5: Solve for x
    x = 21,356,847,080.97/67,867.24
  6. Step 6: Final answer
    x = 314,685.65

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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.