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Finding the Third Proportional to 49,699 and 75,338

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Solution

The third proportional to 49,699 and 75,338 is: 114,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,699 : 75,338 = 75,338 : x
  2. Step 2: Convert to fraction form
    49,699/75,338 = 75,338/x
  3. Step 3: Cross multiply
    49,699x = 75,338 × 75,338
  4. Step 4: Simplify right side
    49,699x = 5,675,814,244
  5. Step 5: Solve for x
    x = 5,675,814,244/49,699
  6. Step 6: Final answer
    x = 114,203.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.