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Finding the Third Proportional to 108,872 and 168,240

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Solution

The third proportional to 108,872 and 168,240 is: 259,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,872 : 168,240 = 168,240 : x
  2. Step 2: Convert to fraction form
    108,872/168,240 = 168,240/x
  3. Step 3: Cross multiply
    108,872x = 168,240 × 168,240
  4. Step 4: Simplify right side
    108,872x = 28,304,697,600
  5. Step 5: Solve for x
    x = 28,304,697,600/108,872
  6. Step 6: Final answer
    x = 259,981.42

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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.