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Finding the Third Proportional to 49,251 and 74,463

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Solution

The third proportional to 49,251 and 74,463 is: 112,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,251 : 74,463 = 74,463 : x
  2. Step 2: Convert to fraction form
    49,251/74,463 = 74,463/x
  3. Step 3: Cross multiply
    49,251x = 74,463 × 74,463
  4. Step 4: Simplify right side
    49,251x = 5,544,738,369
  5. Step 5: Solve for x
    x = 5,544,738,369/49,251
  6. Step 6: Final answer
    x = 112,581.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.