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Finding the Third Proportional to 73,408 and 110,800

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Solution

The third proportional to 73,408 and 110,800 is: 167,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,408 : 110,800 = 110,800 : x
  2. Step 2: Convert to fraction form
    73,408/110,800 = 110,800/x
  3. Step 3: Cross multiply
    73,408x = 110,800 × 110,800
  4. Step 4: Simplify right side
    73,408x = 12,276,640,000
  5. Step 5: Solve for x
    x = 12,276,640,000/73,408
  6. Step 6: Final answer
    x = 167,238.45

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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.