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Finding the Third Proportional to 71,874 and 157,873

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Solution

The third proportional to 71,874 and 157,873 is: 346,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874 : 157,873 = 157,873 : x
  2. Step 2: Convert to fraction form
    71,874/157,873 = 157,873/x
  3. Step 3: Cross multiply
    71,874x = 157,873 × 157,873
  4. Step 4: Simplify right side
    71,874x = 24,923,884,129
  5. Step 5: Solve for x
    x = 24,923,884,129/71,874
  6. Step 6: Final answer
    x = 346,771.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.