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Finding the Third Proportional to 51,892.50 and 80,514

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Solution

The third proportional to 51,892.50 and 80,514 is: 124,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892.50 : 80,514 = 80,514 : x
  2. Step 2: Convert to fraction form
    51,892.50/80,514 = 80,514/x
  3. Step 3: Cross multiply
    51,892.50x = 80,514 × 80,514
  4. Step 4: Simplify right side
    51,892.50x = 6,482,504,196
  5. Step 5: Solve for x
    x = 6,482,504,196/51,892.50
  6. Step 6: Final answer
    x = 124,921.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.