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Finding the Third Proportional to 106,427.25 and 158,712.75

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Solution

The third proportional to 106,427.25 and 158,712.75 is: 236,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,427.25 : 158,712.75 = 158,712.75 : x
  2. Step 2: Convert to fraction form
    106,427.25/158,712.75 = 158,712.75/x
  3. Step 3: Cross multiply
    106,427.25x = 158,712.75 × 158,712.75
  4. Step 4: Simplify right side
    106,427.25x = 25,189,737,012.56
  5. Step 5: Solve for x
    x = 25,189,737,012.56/106,427.25
  6. Step 6: Final answer
    x = 236,685.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.