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Finding the Third Proportional to 60,037 and 138,974

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Solution

The third proportional to 60,037 and 138,974 is: 321,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,037 : 138,974 = 138,974 : x
  2. Step 2: Convert to fraction form
    60,037/138,974 = 138,974/x
  3. Step 3: Cross multiply
    60,037x = 138,974 × 138,974
  4. Step 4: Simplify right side
    60,037x = 19,313,772,676
  5. Step 5: Solve for x
    x = 19,313,772,676/60,037
  6. Step 6: Final answer
    x = 321,697.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.