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Finding the Third Proportional to 117,707 and 151,131

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Solution

The third proportional to 117,707 and 151,131 is: 194,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,707 : 151,131 = 151,131 : x
  2. Step 2: Convert to fraction form
    117,707/151,131 = 151,131/x
  3. Step 3: Cross multiply
    117,707x = 151,131 × 151,131
  4. Step 4: Simplify right side
    117,707x = 22,840,579,161
  5. Step 5: Solve for x
    x = 22,840,579,161/117,707
  6. Step 6: Final answer
    x = 194,046.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.