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Finding the Third Proportional to 108,614 and 163,777

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Solution

The third proportional to 108,614 and 163,777 is: 246,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,614 : 163,777 = 163,777 : x
  2. Step 2: Convert to fraction form
    108,614/163,777 = 163,777/x
  3. Step 3: Cross multiply
    108,614x = 163,777 × 163,777
  4. Step 4: Simplify right side
    108,614x = 26,822,905,729
  5. Step 5: Solve for x
    x = 26,822,905,729/108,614
  6. Step 6: Final answer
    x = 246,956.25

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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.