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Finding the Third Proportional to 73,491 and 110,337

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Solution

The third proportional to 73,491 and 110,337 is: 165,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,491 : 110,337 = 110,337 : x
  2. Step 2: Convert to fraction form
    73,491/110,337 = 110,337/x
  3. Step 3: Cross multiply
    73,491x = 110,337 × 110,337
  4. Step 4: Simplify right side
    73,491x = 12,174,253,569
  5. Step 5: Solve for x
    x = 12,174,253,569/73,491
  6. Step 6: Final answer
    x = 165,656.39

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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.