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Finding the Third Proportional to 34,167 and 74,163

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Solution

The third proportional to 34,167 and 74,163 is: 160,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,167 : 74,163 = 74,163 : x
  2. Step 2: Convert to fraction form
    34,167/74,163 = 74,163/x
  3. Step 3: Cross multiply
    34,167x = 74,163 × 74,163
  4. Step 4: Simplify right side
    34,167x = 5,500,150,569
  5. Step 5: Solve for x
    x = 5,500,150,569/34,167
  6. Step 6: Final answer
    x = 160,978.45

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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.