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Finding the Third Proportional to 109,079.25 and 160,026.75

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Solution

The third proportional to 109,079.25 and 160,026.75 is: 234,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,079.25 : 160,026.75 = 160,026.75 : x
  2. Step 2: Convert to fraction form
    109,079.25/160,026.75 = 160,026.75/x
  3. Step 3: Cross multiply
    109,079.25x = 160,026.75 × 160,026.75
  4. Step 4: Simplify right side
    109,079.25x = 25,608,560,715.56
  5. Step 5: Solve for x
    x = 25,608,560,715.56/109,079.25
  6. Step 6: Final answer
    x = 234,770.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.