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Finding the Third Proportional to 75,319.50 and 167,163

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Solution

The third proportional to 75,319.50 and 167,163 is: 370,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,319.50 : 167,163 = 167,163 : x
  2. Step 2: Convert to fraction form
    75,319.50/167,163 = 167,163/x
  3. Step 3: Cross multiply
    75,319.50x = 167,163 × 167,163
  4. Step 4: Simplify right side
    75,319.50x = 27,943,468,569
  5. Step 5: Solve for x
    x = 27,943,468,569/75,319.50
  6. Step 6: Final answer
    x = 370,999.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.