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Finding the Third Proportional to 53,909 and 95,881

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Solution

The third proportional to 53,909 and 95,881 is: 170,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909 : 95,881 = 95,881 : x
  2. Step 2: Convert to fraction form
    53,909/95,881 = 95,881/x
  3. Step 3: Cross multiply
    53,909x = 95,881 × 95,881
  4. Step 4: Simplify right side
    53,909x = 9,193,166,161
  5. Step 5: Solve for x
    x = 9,193,166,161/53,909
  6. Step 6: Final answer
    x = 170,531.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.