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Finding the Third Proportional to 57,586.78 and 87,185.95

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Solution

The third proportional to 57,586.78 and 87,185.95 is: 131,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.78 : 87,185.95 = 87,185.95 : x
  2. Step 2: Convert to fraction form
    57,586.78/87,185.95 = 87,185.95/x
  3. Step 3: Cross multiply
    57,586.78x = 87,185.95 × 87,185.95
  4. Step 4: Simplify right side
    57,586.78x = 7,601,390,422.31
  5. Step 5: Solve for x
    x = 7,601,390,422.31/57,586.78
  6. Step 6: Final answer
    x = 131,998.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.