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Finding the Third Proportional to 43,192 and 93,008

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Solution

The third proportional to 43,192 and 93,008 is: 200,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,192 : 93,008 = 93,008 : x
  2. Step 2: Convert to fraction form
    43,192/93,008 = 93,008/x
  3. Step 3: Cross multiply
    43,192x = 93,008 × 93,008
  4. Step 4: Simplify right side
    43,192x = 8,650,488,064
  5. Step 5: Solve for x
    x = 8,650,488,064/43,192
  6. Step 6: Final answer
    x = 200,279.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.