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Finding the Third Proportional to 113,598 and 158,874

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Solution

The third proportional to 113,598 and 158,874 is: 222,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,598 : 158,874 = 158,874 : x
  2. Step 2: Convert to fraction form
    113,598/158,874 = 158,874/x
  3. Step 3: Cross multiply
    113,598x = 158,874 × 158,874
  4. Step 4: Simplify right side
    113,598x = 25,240,947,876
  5. Step 5: Solve for x
    x = 25,240,947,876/113,598
  6. Step 6: Final answer
    x = 222,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.