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Finding the Third Proportional to 100,902 and 157,941

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Solution

The third proportional to 100,902 and 157,941 is: 247,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902 : 157,941 = 157,941 : x
  2. Step 2: Convert to fraction form
    100,902/157,941 = 157,941/x
  3. Step 3: Cross multiply
    100,902x = 157,941 × 157,941
  4. Step 4: Simplify right side
    100,902x = 24,945,359,481
  5. Step 5: Solve for x
    x = 24,945,359,481/100,902
  6. Step 6: Final answer
    x = 247,223.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.