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Finding the Third Proportional to 107,874 and 167,491

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Solution

The third proportional to 107,874 and 167,491 is: 260,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,874 : 167,491 = 167,491 : x
  2. Step 2: Convert to fraction form
    107,874/167,491 = 167,491/x
  3. Step 3: Cross multiply
    107,874x = 167,491 × 167,491
  4. Step 4: Simplify right side
    107,874x = 28,053,235,081
  5. Step 5: Solve for x
    x = 28,053,235,081/107,874
  6. Step 6: Final answer
    x = 260,055.57

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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.