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Finding the Third Proportional to 42,879 and 93,174

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Solution

The third proportional to 42,879 and 93,174 is: 202,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,879 : 93,174 = 93,174 : x
  2. Step 2: Convert to fraction form
    42,879/93,174 = 93,174/x
  3. Step 3: Cross multiply
    42,879x = 93,174 × 93,174
  4. Step 4: Simplify right side
    42,879x = 8,681,394,276
  5. Step 5: Solve for x
    x = 8,681,394,276/42,879
  6. Step 6: Final answer
    x = 202,462.61

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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.