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Finding the Third Proportional to 34,305.50 and 73,219

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Solution

The third proportional to 34,305.50 and 73,219 is: 156,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,305.50 : 73,219 = 73,219 : x
  2. Step 2: Convert to fraction form
    34,305.50/73,219 = 73,219/x
  3. Step 3: Cross multiply
    34,305.50x = 73,219 × 73,219
  4. Step 4: Simplify right side
    34,305.50x = 5,361,021,961
  5. Step 5: Solve for x
    x = 5,361,021,961/34,305.50
  6. Step 6: Final answer
    x = 156,272.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.