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Finding the Third Proportional to 73,908 and 110,749

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Solution

The third proportional to 73,908 and 110,749 is: 165,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,908 : 110,749 = 110,749 : x
  2. Step 2: Convert to fraction form
    73,908/110,749 = 110,749/x
  3. Step 3: Cross multiply
    73,908x = 110,749 × 110,749
  4. Step 4: Simplify right side
    73,908x = 12,265,341,001
  5. Step 5: Solve for x
    x = 12,265,341,001/73,908
  6. Step 6: Final answer
    x = 165,954.17

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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.