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Finding the Third Proportional to 57,420.56 and 84,489.75

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Solution

The third proportional to 57,420.56 and 84,489.75 is: 124,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,420.56 : 84,489.75 = 84,489.75 : x
  2. Step 2: Convert to fraction form
    57,420.56/84,489.75 = 84,489.75/x
  3. Step 3: Cross multiply
    57,420.56x = 84,489.75 × 84,489.75
  4. Step 4: Simplify right side
    57,420.56x = 7,138,517,855.06
  5. Step 5: Solve for x
    x = 7,138,517,855.06/57,420.56
  6. Step 6: Final answer
    x = 124,319.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.