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Finding the Third Proportional to 34,282 and 74,324

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Solution

The third proportional to 34,282 and 74,324 is: 161,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282 : 74,324 = 74,324 : x
  2. Step 2: Convert to fraction form
    34,282/74,324 = 74,324/x
  3. Step 3: Cross multiply
    34,282x = 74,324 × 74,324
  4. Step 4: Simplify right side
    34,282x = 5,524,056,976
  5. Step 5: Solve for x
    x = 5,524,056,976/34,282
  6. Step 6: Final answer
    x = 161,135.78

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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.