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Finding the Third Proportional to 104,558 and 157,811

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Solution

The third proportional to 104,558 and 157,811 is: 238,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,558 : 157,811 = 157,811 : x
  2. Step 2: Convert to fraction form
    104,558/157,811 = 157,811/x
  3. Step 3: Cross multiply
    104,558x = 157,811 × 157,811
  4. Step 4: Simplify right side
    104,558x = 24,904,311,721
  5. Step 5: Solve for x
    x = 24,904,311,721/104,558
  6. Step 6: Final answer
    x = 238,186.57

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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.