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Finding the Third Proportional to 43,287 and 93,149

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Solution

The third proportional to 43,287 and 93,149 is: 200,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,287 : 93,149 = 93,149 : x
  2. Step 2: Convert to fraction form
    43,287/93,149 = 93,149/x
  3. Step 3: Cross multiply
    43,287x = 93,149 × 93,149
  4. Step 4: Simplify right side
    43,287x = 8,676,736,201
  5. Step 5: Solve for x
    x = 8,676,736,201/43,287
  6. Step 6: Final answer
    x = 200,446.70

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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.