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Finding the Third Proportional to 57,387 and 83,799

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Solution

The third proportional to 57,387 and 83,799 is: 122,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,387 : 83,799 = 83,799 : x
  2. Step 2: Convert to fraction form
    57,387/83,799 = 83,799/x
  3. Step 3: Cross multiply
    57,387x = 83,799 × 83,799
  4. Step 4: Simplify right side
    57,387x = 7,022,272,401
  5. Step 5: Solve for x
    x = 7,022,272,401/57,387
  6. Step 6: Final answer
    x = 122,366.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.