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Finding the Third Proportional to 75,755.25 and 112,164.75

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Solution

The third proportional to 75,755.25 and 112,164.75 is: 166,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.25 : 112,164.75 = 112,164.75 : x
  2. Step 2: Convert to fraction form
    75,755.25/112,164.75 = 112,164.75/x
  3. Step 3: Cross multiply
    75,755.25x = 112,164.75 × 112,164.75
  4. Step 4: Simplify right side
    75,755.25x = 12,580,931,142.56
  5. Step 5: Solve for x
    x = 12,580,931,142.56/75,755.25
  6. Step 6: Final answer
    x = 166,073.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.