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Finding the Third Proportional to 110,826 and 175,517

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Solution

The third proportional to 110,826 and 175,517 is: 277,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,826 : 175,517 = 175,517 : x
  2. Step 2: Convert to fraction form
    110,826/175,517 = 175,517/x
  3. Step 3: Cross multiply
    110,826x = 175,517 × 175,517
  4. Step 4: Simplify right side
    110,826x = 30,806,217,289
  5. Step 5: Solve for x
    x = 30,806,217,289/110,826
  6. Step 6: Final answer
    x = 277,969.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.