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Finding the Third Proportional to 104,996.25 and 159,438.38

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Solution

The third proportional to 104,996.25 and 159,438.38 is: 242,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,996.25 : 159,438.38 = 159,438.38 : x
  2. Step 2: Convert to fraction form
    104,996.25/159,438.38 = 159,438.38/x
  3. Step 3: Cross multiply
    104,996.25x = 159,438.38 × 159,438.38
  4. Step 4: Simplify right side
    104,996.25x = 25,420,595,422.64
  5. Step 5: Solve for x
    x = 25,420,595,422.64/104,996.25
  6. Step 6: Final answer
    x = 242,109.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.