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Finding the Third Proportional to 57,442.50 and 83,976.75

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Solution

The third proportional to 57,442.50 and 83,976.75 is: 122,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.50 : 83,976.75 = 83,976.75 : x
  2. Step 2: Convert to fraction form
    57,442.50/83,976.75 = 83,976.75/x
  3. Step 3: Cross multiply
    57,442.50x = 83,976.75 × 83,976.75
  4. Step 4: Simplify right side
    57,442.50x = 7,052,094,540.56
  5. Step 5: Solve for x
    x = 7,052,094,540.56/57,442.50
  6. Step 6: Final answer
    x = 122,767.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.