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Finding the Third Proportional to 109,770.75 and 160,458.75

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Solution

The third proportional to 109,770.75 and 160,458.75 is: 234,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.75 : 160,458.75 = 160,458.75 : x
  2. Step 2: Convert to fraction form
    109,770.75/160,458.75 = 160,458.75/x
  3. Step 3: Cross multiply
    109,770.75x = 160,458.75 × 160,458.75
  4. Step 4: Simplify right side
    109,770.75x = 25,747,010,451.56
  5. Step 5: Solve for x
    x = 25,747,010,451.56/109,770.75
  6. Step 6: Final answer
    x = 234,552.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.