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Finding the Third Proportional to 49,074 and 75,519

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Solution

The third proportional to 49,074 and 75,519 is: 116,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074 : 75,519 = 75,519 : x
  2. Step 2: Convert to fraction form
    49,074/75,519 = 75,519/x
  3. Step 3: Cross multiply
    49,074x = 75,519 × 75,519
  4. Step 4: Simplify right side
    49,074x = 5,703,119,361
  5. Step 5: Solve for x
    x = 5,703,119,361/49,074
  6. Step 6: Final answer
    x = 116,214.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.