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Finding the Third Proportional to 52,634.25 and 76,187.25

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Solution

The third proportional to 52,634.25 and 76,187.25 is: 110,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,634.25 : 76,187.25 = 76,187.25 : x
  2. Step 2: Convert to fraction form
    52,634.25/76,187.25 = 76,187.25/x
  3. Step 3: Cross multiply
    52,634.25x = 76,187.25 × 76,187.25
  4. Step 4: Simplify right side
    52,634.25x = 5,804,497,062.56
  5. Step 5: Solve for x
    x = 5,804,497,062.56/52,634.25
  6. Step 6: Final answer
    x = 110,279.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.