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Finding the Third Proportional to 53,758 and 80,691

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Solution

The third proportional to 53,758 and 80,691 is: 121,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758 : 80,691 = 80,691 : x
  2. Step 2: Convert to fraction form
    53,758/80,691 = 80,691/x
  3. Step 3: Cross multiply
    53,758x = 80,691 × 80,691
  4. Step 4: Simplify right side
    53,758x = 6,511,037,481
  5. Step 5: Solve for x
    x = 6,511,037,481/53,758
  6. Step 6: Final answer
    x = 121,117.55

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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.