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Finding the Third Proportional to 71,023 and 157,811

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Solution

The third proportional to 71,023 and 157,811 is: 350,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023 : 157,811 = 157,811 : x
  2. Step 2: Convert to fraction form
    71,023/157,811 = 157,811/x
  3. Step 3: Cross multiply
    71,023x = 157,811 × 157,811
  4. Step 4: Simplify right side
    71,023x = 24,904,311,721
  5. Step 5: Solve for x
    x = 24,904,311,721/71,023
  6. Step 6: Final answer
    x = 350,651.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.