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Finding the Third Proportional to 108,899 and 163,349

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Solution

The third proportional to 108,899 and 163,349 is: 245,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,899 : 163,349 = 163,349 : x
  2. Step 2: Convert to fraction form
    108,899/163,349 = 163,349/x
  3. Step 3: Cross multiply
    108,899x = 163,349 × 163,349
  4. Step 4: Simplify right side
    108,899x = 26,682,895,801
  5. Step 5: Solve for x
    x = 26,682,895,801/108,899
  6. Step 6: Final answer
    x = 245,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.