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Finding the Third Proportional to 137,976 and 213,876

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Solution

The third proportional to 137,976 and 213,876 is: 331,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 213,876 = 213,876 : x
  2. Step 2: Convert to fraction form
    137,976/213,876 = 213,876/x
  3. Step 3: Cross multiply
    137,976x = 213,876 × 213,876
  4. Step 4: Simplify right side
    137,976x = 45,742,943,376
  5. Step 5: Solve for x
    x = 45,742,943,376/137,976
  6. Step 6: Final answer
    x = 331,528.26

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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.