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Finding the Third Proportional to 35,121 and 76,074

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Solution

The third proportional to 35,121 and 76,074 is: 164,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,121 : 76,074 = 76,074 : x
  2. Step 2: Convert to fraction form
    35,121/76,074 = 76,074/x
  3. Step 3: Cross multiply
    35,121x = 76,074 × 76,074
  4. Step 4: Simplify right side
    35,121x = 5,787,253,476
  5. Step 5: Solve for x
    x = 5,787,253,476/35,121
  6. Step 6: Final answer
    x = 164,780.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.