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Finding the Third Proportional to 67,074 and 144,438

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Solution

The third proportional to 67,074 and 144,438 is: 311,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,074 : 144,438 = 144,438 : x
  2. Step 2: Convert to fraction form
    67,074/144,438 = 144,438/x
  3. Step 3: Cross multiply
    67,074x = 144,438 × 144,438
  4. Step 4: Simplify right side
    67,074x = 20,862,335,844
  5. Step 5: Solve for x
    x = 20,862,335,844/67,074
  6. Step 6: Final answer
    x = 311,034.62

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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.