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Finding the Third Proportional to 49,304 and 73,871

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Solution

The third proportional to 49,304 and 73,871 is: 110,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,304 : 73,871 = 73,871 : x
  2. Step 2: Convert to fraction form
    49,304/73,871 = 73,871/x
  3. Step 3: Cross multiply
    49,304x = 73,871 × 73,871
  4. Step 4: Simplify right side
    49,304x = 5,456,924,641
  5. Step 5: Solve for x
    x = 5,456,924,641/49,304
  6. Step 6: Final answer
    x = 110,679.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.