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Finding the Third Proportional to 108,842 and 168,116

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Solution

The third proportional to 108,842 and 168,116 is: 259,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,842 : 168,116 = 168,116 : x
  2. Step 2: Convert to fraction form
    108,842/168,116 = 168,116/x
  3. Step 3: Cross multiply
    108,842x = 168,116 × 168,116
  4. Step 4: Simplify right side
    108,842x = 28,262,989,456
  5. Step 5: Solve for x
    x = 28,262,989,456/108,842
  6. Step 6: Final answer
    x = 259,669.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.