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Finding the Third Proportional to 108,431 and 169,204

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Solution

The third proportional to 108,431 and 169,204 is: 264,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,431 : 169,204 = 169,204 : x
  2. Step 2: Convert to fraction form
    108,431/169,204 = 169,204/x
  3. Step 3: Cross multiply
    108,431x = 169,204 × 169,204
  4. Step 4: Simplify right side
    108,431x = 28,629,993,616
  5. Step 5: Solve for x
    x = 28,629,993,616/108,431
  6. Step 6: Final answer
    x = 264,038.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.