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Finding the Third Proportional to 54,680 and 71,799

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Solution

The third proportional to 54,680 and 71,799 is: 94,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680 : 71,799 = 71,799 : x
  2. Step 2: Convert to fraction form
    54,680/71,799 = 71,799/x
  3. Step 3: Cross multiply
    54,680x = 71,799 × 71,799
  4. Step 4: Simplify right side
    54,680x = 5,155,096,401
  5. Step 5: Solve for x
    x = 5,155,096,401/54,680
  6. Step 6: Final answer
    x = 94,277.55

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.