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Finding the Third Proportional to 110,714 and 176,251

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Solution

The third proportional to 110,714 and 176,251 is: 280,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,714 : 176,251 = 176,251 : x
  2. Step 2: Convert to fraction form
    110,714/176,251 = 176,251/x
  3. Step 3: Cross multiply
    110,714x = 176,251 × 176,251
  4. Step 4: Simplify right side
    110,714x = 31,064,415,001
  5. Step 5: Solve for x
    x = 31,064,415,001/110,714
  6. Step 6: Final answer
    x = 280,582.54

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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.