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Finding the Third Proportional to 49,986 and 75,122

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Solution

The third proportional to 49,986 and 75,122 is: 112,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,986 : 75,122 = 75,122 : x
  2. Step 2: Convert to fraction form
    49,986/75,122 = 75,122/x
  3. Step 3: Cross multiply
    49,986x = 75,122 × 75,122
  4. Step 4: Simplify right side
    49,986x = 5,643,314,884
  5. Step 5: Solve for x
    x = 5,643,314,884/49,986
  6. Step 6: Final answer
    x = 112,897.91

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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.