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Finding the Third Proportional to 73,228 and 110,652

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Solution

The third proportional to 73,228 and 110,652 is: 167,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,228 : 110,652 = 110,652 : x
  2. Step 2: Convert to fraction form
    73,228/110,652 = 110,652/x
  3. Step 3: Cross multiply
    73,228x = 110,652 × 110,652
  4. Step 4: Simplify right side
    73,228x = 12,243,865,104
  5. Step 5: Solve for x
    x = 12,243,865,104/73,228
  6. Step 6: Final answer
    x = 167,201.96

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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.