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Finding the Third Proportional to 27,362 and 60,124

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Solution

The third proportional to 27,362 and 60,124 is: 132,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362 : 60,124 = 60,124 : x
  2. Step 2: Convert to fraction form
    27,362/60,124 = 60,124/x
  3. Step 3: Cross multiply
    27,362x = 60,124 × 60,124
  4. Step 4: Simplify right side
    27,362x = 3,614,895,376
  5. Step 5: Solve for x
    x = 3,614,895,376/27,362
  6. Step 6: Final answer
    x = 132,113.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.