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Finding the Third Proportional to 108,971 and 168,383

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Solution

The third proportional to 108,971 and 168,383 is: 260,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,971 : 168,383 = 168,383 : x
  2. Step 2: Convert to fraction form
    108,971/168,383 = 168,383/x
  3. Step 3: Cross multiply
    108,971x = 168,383 × 168,383
  4. Step 4: Simplify right side
    108,971x = 28,352,834,689
  5. Step 5: Solve for x
    x = 28,352,834,689/108,971
  6. Step 6: Final answer
    x = 260,186.97

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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.