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Finding the Third Proportional to 34,016 and 79,074

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Solution

The third proportional to 34,016 and 79,074 is: 183,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016 : 79,074 = 79,074 : x
  2. Step 2: Convert to fraction form
    34,016/79,074 = 79,074/x
  3. Step 3: Cross multiply
    34,016x = 79,074 × 79,074
  4. Step 4: Simplify right side
    34,016x = 6,252,697,476
  5. Step 5: Solve for x
    x = 6,252,697,476/34,016
  6. Step 6: Final answer
    x = 183,816.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.