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Finding the Third Proportional to 57,586.38 and 87,185

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Solution

The third proportional to 57,586.38 and 87,185 is: 131,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.38 : 87,185 = 87,185 : x
  2. Step 2: Convert to fraction form
    57,586.38/87,185 = 87,185/x
  3. Step 3: Cross multiply
    57,586.38x = 87,185 × 87,185
  4. Step 4: Simplify right side
    57,586.38x = 7,601,224,225
  5. Step 5: Solve for x
    x = 7,601,224,225/57,586.38
  6. Step 6: Final answer
    x = 131,996.92

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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.