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Finding the Third Proportional to 111,065.25 and 158,712.75

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Solution

The third proportional to 111,065.25 and 158,712.75 is: 226,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,065.25 : 158,712.75 = 158,712.75 : x
  2. Step 2: Convert to fraction form
    111,065.25/158,712.75 = 158,712.75/x
  3. Step 3: Cross multiply
    111,065.25x = 158,712.75 × 158,712.75
  4. Step 4: Simplify right side
    111,065.25x = 25,189,737,012.56
  5. Step 5: Solve for x
    x = 25,189,737,012.56/111,065.25
  6. Step 6: Final answer
    x = 226,801.25

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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.