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Finding the Third Proportional to 117,939 and 157,131

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Solution

The third proportional to 117,939 and 157,131 is: 209,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,939 : 157,131 = 157,131 : x
  2. Step 2: Convert to fraction form
    117,939/157,131 = 157,131/x
  3. Step 3: Cross multiply
    117,939x = 157,131 × 157,131
  4. Step 4: Simplify right side
    117,939x = 24,690,151,161
  5. Step 5: Solve for x
    x = 24,690,151,161/117,939
  6. Step 6: Final answer
    x = 209,346.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.