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Finding the Third Proportional to 106,634.25 and 162,255.38

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Solution

The third proportional to 106,634.25 and 162,255.38 is: 246,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,634.25 : 162,255.38 = 162,255.38 : x
  2. Step 2: Convert to fraction form
    106,634.25/162,255.38 = 162,255.38/x
  3. Step 3: Cross multiply
    106,634.25x = 162,255.38 × 162,255.38
  4. Step 4: Simplify right side
    106,634.25x = 26,326,806,716.39
  5. Step 5: Solve for x
    x = 26,326,806,716.39/106,634.25
  6. Step 6: Final answer
    x = 246,888.84

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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.