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Finding the Third Proportional to 31,194 and 75,213

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Solution

The third proportional to 31,194 and 75,213 is: 181,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 75,213 = 75,213 : x
  2. Step 2: Convert to fraction form
    31,194/75,213 = 75,213/x
  3. Step 3: Cross multiply
    31,194x = 75,213 × 75,213
  4. Step 4: Simplify right side
    31,194x = 5,656,995,369
  5. Step 5: Solve for x
    x = 5,656,995,369/31,194
  6. Step 6: Final answer
    x = 181,348.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.