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Finding the Third Proportional to 110,366 and 174,876

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Solution

The third proportional to 110,366 and 174,876 is: 277,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,366 : 174,876 = 174,876 : x
  2. Step 2: Convert to fraction form
    110,366/174,876 = 174,876/x
  3. Step 3: Cross multiply
    110,366x = 174,876 × 174,876
  4. Step 4: Simplify right side
    110,366x = 30,581,615,376
  5. Step 5: Solve for x
    x = 30,581,615,376/110,366
  6. Step 6: Final answer
    x = 277,092.72

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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.