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Finding the Third Proportional to 108,896 and 168,245

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Solution

The third proportional to 108,896 and 168,245 is: 259,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,896 : 168,245 = 168,245 : x
  2. Step 2: Convert to fraction form
    108,896/168,245 = 168,245/x
  3. Step 3: Cross multiply
    108,896x = 168,245 × 168,245
  4. Step 4: Simplify right side
    108,896x = 28,306,380,025
  5. Step 5: Solve for x
    x = 28,306,380,025/108,896
  6. Step 6: Final answer
    x = 259,939.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.