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Finding the Third Proportional to 108,354 and 173,027

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Solution

The third proportional to 108,354 and 173,027 is: 276,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,354 : 173,027 = 173,027 : x
  2. Step 2: Convert to fraction form
    108,354/173,027 = 173,027/x
  3. Step 3: Cross multiply
    108,354x = 173,027 × 173,027
  4. Step 4: Simplify right side
    108,354x = 29,938,342,729
  5. Step 5: Solve for x
    x = 29,938,342,729/108,354
  6. Step 6: Final answer
    x = 276,301.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.