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Finding the Third Proportional to 34,284 and 74,328

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Solution

The third proportional to 34,284 and 74,328 is: 161,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284 : 74,328 = 74,328 : x
  2. Step 2: Convert to fraction form
    34,284/74,328 = 74,328/x
  3. Step 3: Cross multiply
    34,284x = 74,328 × 74,328
  4. Step 4: Simplify right side
    34,284x = 5,524,651,584
  5. Step 5: Solve for x
    x = 5,524,651,584/34,284
  6. Step 6: Final answer
    x = 161,143.73

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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.