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Finding the Third Proportional to 76,052.25 and 109,536.75

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Solution

The third proportional to 76,052.25 and 109,536.75 is: 157,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,052.25 : 109,536.75 = 109,536.75 : x
  2. Step 2: Convert to fraction form
    76,052.25/109,536.75 = 109,536.75/x
  3. Step 3: Cross multiply
    76,052.25x = 109,536.75 × 109,536.75
  4. Step 4: Simplify right side
    76,052.25x = 11,998,299,600.56
  5. Step 5: Solve for x
    x = 11,998,299,600.56/76,052.25
  6. Step 6: Final answer
    x = 157,763.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.