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Finding the Third Proportional to 110,251 and 174,806

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Solution

The third proportional to 110,251 and 174,806 is: 277,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,251 : 174,806 = 174,806 : x
  2. Step 2: Convert to fraction form
    110,251/174,806 = 174,806/x
  3. Step 3: Cross multiply
    110,251x = 174,806 × 174,806
  4. Step 4: Simplify right side
    110,251x = 30,557,137,636
  5. Step 5: Solve for x
    x = 30,557,137,636/110,251
  6. Step 6: Final answer
    x = 277,159.73

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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.