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Finding the Third Proportional to 91,959 and 138,245

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Solution

The third proportional to 91,959 and 138,245 is: 207,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,959 : 138,245 = 138,245 : x
  2. Step 2: Convert to fraction form
    91,959/138,245 = 138,245/x
  3. Step 3: Cross multiply
    91,959x = 138,245 × 138,245
  4. Step 4: Simplify right side
    91,959x = 19,111,680,025
  5. Step 5: Solve for x
    x = 19,111,680,025/91,959
  6. Step 6: Final answer
    x = 207,828.27

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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.