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Finding the Third Proportional to 48,304 and 71,056.75

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Solution

The third proportional to 48,304 and 71,056.75 is: 104,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,304 : 71,056.75 = 71,056.75 : x
  2. Step 2: Convert to fraction form
    48,304/71,056.75 = 71,056.75/x
  3. Step 3: Cross multiply
    48,304x = 71,056.75 × 71,056.75
  4. Step 4: Simplify right side
    48,304x = 5,049,061,720.56
  5. Step 5: Solve for x
    x = 5,049,061,720.56/48,304
  6. Step 6: Final answer
    x = 104,526.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.