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Finding the Third Proportional to 110,540 and 175,301

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Solution

The third proportional to 110,540 and 175,301 is: 278,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540 : 175,301 = 175,301 : x
  2. Step 2: Convert to fraction form
    110,540/175,301 = 175,301/x
  3. Step 3: Cross multiply
    110,540x = 175,301 × 175,301
  4. Step 4: Simplify right side
    110,540x = 30,730,440,601
  5. Step 5: Solve for x
    x = 30,730,440,601/110,540
  6. Step 6: Final answer
    x = 278,002.90

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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.