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Finding the Third Proportional to 107,876 and 167,494

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Solution

The third proportional to 107,876 and 167,494 is: 260,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,876 : 167,494 = 167,494 : x
  2. Step 2: Convert to fraction form
    107,876/167,494 = 167,494/x
  3. Step 3: Cross multiply
    107,876x = 167,494 × 167,494
  4. Step 4: Simplify right side
    107,876x = 28,054,240,036
  5. Step 5: Solve for x
    x = 28,054,240,036/107,876
  6. Step 6: Final answer
    x = 260,060.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.