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Finding the Third Proportional to 104,567 and 157,831

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Solution

The third proportional to 104,567 and 157,831 is: 238,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,567 : 157,831 = 157,831 : x
  2. Step 2: Convert to fraction form
    104,567/157,831 = 157,831/x
  3. Step 3: Cross multiply
    104,567x = 157,831 × 157,831
  4. Step 4: Simplify right side
    104,567x = 24,910,624,561
  5. Step 5: Solve for x
    x = 24,910,624,561/104,567
  6. Step 6: Final answer
    x = 238,226.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.