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Finding the Third Proportional to 43,302 and 95,109

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Solution

The third proportional to 43,302 and 95,109 is: 208,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,302 : 95,109 = 95,109 : x
  2. Step 2: Convert to fraction form
    43,302/95,109 = 95,109/x
  3. Step 3: Cross multiply
    43,302x = 95,109 × 95,109
  4. Step 4: Simplify right side
    43,302x = 9,045,721,881
  5. Step 5: Solve for x
    x = 9,045,721,881/43,302
  6. Step 6: Final answer
    x = 208,898.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.