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Finding the Third Proportional to 60,238 and 129,638

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Solution

The third proportional to 60,238 and 129,638 is: 278,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,238 : 129,638 = 129,638 : x
  2. Step 2: Convert to fraction form
    60,238/129,638 = 129,638/x
  3. Step 3: Cross multiply
    60,238x = 129,638 × 129,638
  4. Step 4: Simplify right side
    60,238x = 16,806,011,044
  5. Step 5: Solve for x
    x = 16,806,011,044/60,238
  6. Step 6: Final answer
    x = 278,993.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.