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Finding the Third Proportional to 75,649.25 and 109,926.75

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Solution

The third proportional to 75,649.25 and 109,926.75 is: 159,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.25 : 109,926.75 = 109,926.75 : x
  2. Step 2: Convert to fraction form
    75,649.25/109,926.75 = 109,926.75/x
  3. Step 3: Cross multiply
    75,649.25x = 109,926.75 × 109,926.75
  4. Step 4: Simplify right side
    75,649.25x = 12,083,890,365.56
  5. Step 5: Solve for x
    x = 12,083,890,365.56/75,649.25
  6. Step 6: Final answer
    x = 159,735.76

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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.