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Finding the Third Proportional to 108,624 and 163,631

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Solution

The third proportional to 108,624 and 163,631 is: 246,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,624 : 163,631 = 163,631 : x
  2. Step 2: Convert to fraction form
    108,624/163,631 = 163,631/x
  3. Step 3: Cross multiply
    108,624x = 163,631 × 163,631
  4. Step 4: Simplify right side
    108,624x = 26,775,104,161
  5. Step 5: Solve for x
    x = 26,775,104,161/108,624
  6. Step 6: Final answer
    x = 246,493.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.