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Finding the Third Proportional to 137,976 and 210,974

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Solution

The third proportional to 137,976 and 210,974 is: 322,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 210,974 = 210,974 : x
  2. Step 2: Convert to fraction form
    137,976/210,974 = 210,974/x
  3. Step 3: Cross multiply
    137,976x = 210,974 × 210,974
  4. Step 4: Simplify right side
    137,976x = 44,510,028,676
  5. Step 5: Solve for x
    x = 44,510,028,676/137,976
  6. Step 6: Final answer
    x = 322,592.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.