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Finding the Third Proportional to 40,372.17 and 85,114.55

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Solution

The third proportional to 40,372.17 and 85,114.55 is: 179,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,372.17 : 85,114.55 = 85,114.55 : x
  2. Step 2: Convert to fraction form
    40,372.17/85,114.55 = 85,114.55/x
  3. Step 3: Cross multiply
    40,372.17x = 85,114.55 × 85,114.55
  4. Step 4: Simplify right side
    40,372.17x = 7,244,486,089.74
  5. Step 5: Solve for x
    x = 7,244,486,089.74/40,372.17
  6. Step 6: Final answer
    x = 179,442.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.