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Finding the Third Proportional to 67,274 and 142,747

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Solution

The third proportional to 67,274 and 142,747 is: 302,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,274 : 142,747 = 142,747 : x
  2. Step 2: Convert to fraction form
    67,274/142,747 = 142,747/x
  3. Step 3: Cross multiply
    67,274x = 142,747 × 142,747
  4. Step 4: Simplify right side
    67,274x = 20,376,706,009
  5. Step 5: Solve for x
    x = 20,376,706,009/67,274
  6. Step 6: Final answer
    x = 302,891.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.