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Finding the Third Proportional to 57,085.54 and 86,974.78

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Solution

The third proportional to 57,085.54 and 86,974.78 is: 132,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085.54 : 86,974.78 = 86,974.78 : x
  2. Step 2: Convert to fraction form
    57,085.54/86,974.78 = 86,974.78/x
  3. Step 3: Cross multiply
    57,085.54x = 86,974.78 × 86,974.78
  4. Step 4: Simplify right side
    57,085.54x = 7,564,612,063.87
  5. Step 5: Solve for x
    x = 7,564,612,063.87/57,085.54
  6. Step 6: Final answer
    x = 132,513.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.