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Finding the Third Proportional to 31,170 and 50,139

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Solution

The third proportional to 31,170 and 50,139 is: 80,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170 : 50,139 = 50,139 : x
  2. Step 2: Convert to fraction form
    31,170/50,139 = 50,139/x
  3. Step 3: Cross multiply
    31,170x = 50,139 × 50,139
  4. Step 4: Simplify right side
    31,170x = 2,513,919,321
  5. Step 5: Solve for x
    x = 2,513,919,321/31,170
  6. Step 6: Final answer
    x = 80,651.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.