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Finding the Third Proportional to 91,251 and 136,511.25

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Solution

The third proportional to 91,251 and 136,511.25 is: 204,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,251 : 136,511.25 = 136,511.25 : x
  2. Step 2: Convert to fraction form
    91,251/136,511.25 = 136,511.25/x
  3. Step 3: Cross multiply
    91,251x = 136,511.25 × 136,511.25
  4. Step 4: Simplify right side
    91,251x = 18,635,321,376.56
  5. Step 5: Solve for x
    x = 18,635,321,376.56/91,251
  6. Step 6: Final answer
    x = 204,220.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.