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Finding the Third Proportional to 106,985.25 and 165,567.38

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Solution

The third proportional to 106,985.25 and 165,567.38 is: 256,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,985.25 : 165,567.38 = 165,567.38 : x
  2. Step 2: Convert to fraction form
    106,985.25/165,567.38 = 165,567.38/x
  3. Step 3: Cross multiply
    106,985.25x = 165,567.38 × 165,567.38
  4. Step 4: Simplify right side
    106,985.25x = 27,412,555,664.39
  5. Step 5: Solve for x
    x = 27,412,555,664.39/106,985.25
  6. Step 6: Final answer
    x = 256,227.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.