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Finding the Third Proportional to 110,511 and 175,257

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Solution

The third proportional to 110,511 and 175,257 is: 277,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,511 : 175,257 = 175,257 : x
  2. Step 2: Convert to fraction form
    110,511/175,257 = 175,257/x
  3. Step 3: Cross multiply
    110,511x = 175,257 × 175,257
  4. Step 4: Simplify right side
    110,511x = 30,715,016,049
  5. Step 5: Solve for x
    x = 30,715,016,049/110,511
  6. Step 6: Final answer
    x = 277,936.28

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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.