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Finding the Third Proportional to 49,922 and 75,086

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Solution

The third proportional to 49,922 and 75,086 is: 112,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,922 : 75,086 = 75,086 : x
  2. Step 2: Convert to fraction form
    49,922/75,086 = 75,086/x
  3. Step 3: Cross multiply
    49,922x = 75,086 × 75,086
  4. Step 4: Simplify right side
    49,922x = 5,637,907,396
  5. Step 5: Solve for x
    x = 5,637,907,396/49,922
  6. Step 6: Final answer
    x = 112,934.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.