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Finding the Third Proportional to 110,134 and 175,048

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Solution

The third proportional to 110,134 and 175,048 is: 278,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,134 : 175,048 = 175,048 : x
  2. Step 2: Convert to fraction form
    110,134/175,048 = 175,048/x
  3. Step 3: Cross multiply
    110,134x = 175,048 × 175,048
  4. Step 4: Simplify right side
    110,134x = 30,641,802,304
  5. Step 5: Solve for x
    x = 30,641,802,304/110,134
  6. Step 6: Final answer
    x = 278,222.91

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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.