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Finding the Third Proportional to 103,743 and 151,074

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Solution

The third proportional to 103,743 and 151,074 is: 219,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,743 : 151,074 = 151,074 : x
  2. Step 2: Convert to fraction form
    103,743/151,074 = 151,074/x
  3. Step 3: Cross multiply
    103,743x = 151,074 × 151,074
  4. Step 4: Simplify right side
    103,743x = 22,823,353,476
  5. Step 5: Solve for x
    x = 22,823,353,476/103,743
  6. Step 6: Final answer
    x = 219,998.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.