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Finding the Third Proportional to 111,107.25 and 158,769

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Solution

The third proportional to 111,107.25 and 158,769 is: 226,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,107.25 : 158,769 = 158,769 : x
  2. Step 2: Convert to fraction form
    111,107.25/158,769 = 158,769/x
  3. Step 3: Cross multiply
    111,107.25x = 158,769 × 158,769
  4. Step 4: Simplify right side
    111,107.25x = 25,207,595,361
  5. Step 5: Solve for x
    x = 25,207,595,361/111,107.25
  6. Step 6: Final answer
    x = 226,876.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.