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Finding the Third Proportional to 52,257.66 and 80,073.56

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Solution

The third proportional to 52,257.66 and 80,073.56 is: 122,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257.66 : 80,073.56 = 80,073.56 : x
  2. Step 2: Convert to fraction form
    52,257.66/80,073.56 = 80,073.56/x
  3. Step 3: Cross multiply
    52,257.66x = 80,073.56 × 80,073.56
  4. Step 4: Simplify right side
    52,257.66x = 6,411,775,411.44
  5. Step 5: Solve for x
    x = 6,411,775,411.44/52,257.66
  6. Step 6: Final answer
    x = 122,695.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.