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Finding the Third Proportional to 57,744.75 and 85,773.38

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Solution

The third proportional to 57,744.75 and 85,773.38 is: 127,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744.75 : 85,773.38 = 85,773.38 : x
  2. Step 2: Convert to fraction form
    57,744.75/85,773.38 = 85,773.38/x
  3. Step 3: Cross multiply
    57,744.75x = 85,773.38 × 85,773.38
  4. Step 4: Simplify right side
    57,744.75x = 7,357,071,858.89
  5. Step 5: Solve for x
    x = 7,357,071,858.89/57,744.75
  6. Step 6: Final answer
    x = 127,406.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.