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Finding the Third Proportional to 106,269.75 and 159,131.25

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Solution

The third proportional to 106,269.75 and 159,131.25 is: 238,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,269.75 : 159,131.25 = 159,131.25 : x
  2. Step 2: Convert to fraction form
    106,269.75/159,131.25 = 159,131.25/x
  3. Step 3: Cross multiply
    106,269.75x = 159,131.25 × 159,131.25
  4. Step 4: Simplify right side
    106,269.75x = 25,322,754,726.56
  5. Step 5: Solve for x
    x = 25,322,754,726.56/106,269.75
  6. Step 6: Final answer
    x = 238,287.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.