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Finding the Third Proportional to 135,569 and 181,110

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Solution

The third proportional to 135,569 and 181,110 is: 241,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,569 : 181,110 = 181,110 : x
  2. Step 2: Convert to fraction form
    135,569/181,110 = 181,110/x
  3. Step 3: Cross multiply
    135,569x = 181,110 × 181,110
  4. Step 4: Simplify right side
    135,569x = 32,800,832,100
  5. Step 5: Solve for x
    x = 32,800,832,100/135,569
  6. Step 6: Final answer
    x = 241,949.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.