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Finding the Third Proportional to 110,145 and 175,059

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Solution

The third proportional to 110,145 and 175,059 is: 278,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,145 : 175,059 = 175,059 : x
  2. Step 2: Convert to fraction form
    110,145/175,059 = 175,059/x
  3. Step 3: Cross multiply
    110,145x = 175,059 × 175,059
  4. Step 4: Simplify right side
    110,145x = 30,645,653,481
  5. Step 5: Solve for x
    x = 30,645,653,481/110,145
  6. Step 6: Final answer
    x = 278,230.09

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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.