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Finding the Third Proportional to 113,078 and 169,874

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Solution

The third proportional to 113,078 and 169,874 is: 255,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,078 : 169,874 = 169,874 : x
  2. Step 2: Convert to fraction form
    113,078/169,874 = 169,874/x
  3. Step 3: Cross multiply
    113,078x = 169,874 × 169,874
  4. Step 4: Simplify right side
    113,078x = 28,857,175,876
  5. Step 5: Solve for x
    x = 28,857,175,876/113,078
  6. Step 6: Final answer
    x = 255,197.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.