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Finding the Third Proportional to 106,544.25 and 161,760.38

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Solution

The third proportional to 106,544.25 and 161,760.38 is: 245,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544.25 : 161,760.38 = 161,760.38 : x
  2. Step 2: Convert to fraction form
    106,544.25/161,760.38 = 161,760.38/x
  3. Step 3: Cross multiply
    106,544.25x = 161,760.38 × 161,760.38
  4. Step 4: Simplify right side
    106,544.25x = 26,166,418,920.14
  5. Step 5: Solve for x
    x = 26,166,418,920.14/106,544.25
  6. Step 6: Final answer
    x = 245,592.03

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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.