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Finding the Third Proportional to 73,467 and 110,403

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Solution

The third proportional to 73,467 and 110,403 is: 165,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,467 : 110,403 = 110,403 : x
  2. Step 2: Convert to fraction form
    73,467/110,403 = 110,403/x
  3. Step 3: Cross multiply
    73,467x = 110,403 × 110,403
  4. Step 4: Simplify right side
    73,467x = 12,188,822,409
  5. Step 5: Solve for x
    x = 12,188,822,409/73,467
  6. Step 6: Final answer
    x = 165,908.81

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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.