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Finding the Third Proportional to 80,959 and 122,570

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Solution

The third proportional to 80,959 and 122,570 is: 185,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,959 : 122,570 = 122,570 : x
  2. Step 2: Convert to fraction form
    80,959/122,570 = 122,570/x
  3. Step 3: Cross multiply
    80,959x = 122,570 × 122,570
  4. Step 4: Simplify right side
    80,959x = 15,023,404,900
  5. Step 5: Solve for x
    x = 15,023,404,900/80,959
  6. Step 6: Final answer
    x = 185,568.06

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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.