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Finding the Third Proportional to 91,713 and 131,731.50

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Solution

The third proportional to 91,713 and 131,731.50 is: 189,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,713 : 131,731.50 = 131,731.50 : x
  2. Step 2: Convert to fraction form
    91,713/131,731.50 = 131,731.50/x
  3. Step 3: Cross multiply
    91,713x = 131,731.50 × 131,731.50
  4. Step 4: Simplify right side
    91,713x = 17,353,188,092.25
  5. Step 5: Solve for x
    x = 17,353,188,092.25/91,713
  6. Step 6: Final answer
    x = 189,211.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.