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Finding the Third Proportional to 110,154 and 175,073

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Solution

The third proportional to 110,154 and 175,073 is: 278,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,154 : 175,073 = 175,073 : x
  2. Step 2: Convert to fraction form
    110,154/175,073 = 175,073/x
  3. Step 3: Cross multiply
    110,154x = 175,073 × 175,073
  4. Step 4: Simplify right side
    110,154x = 30,650,555,329
  5. Step 5: Solve for x
    x = 30,650,555,329/110,154
  6. Step 6: Final answer
    x = 278,251.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.