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Finding the Third Proportional to 75,202.50 and 167,215.50

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Solution

The third proportional to 75,202.50 and 167,215.50 is: 371,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,202.50 : 167,215.50 = 167,215.50 : x
  2. Step 2: Convert to fraction form
    75,202.50/167,215.50 = 167,215.50/x
  3. Step 3: Cross multiply
    75,202.50x = 167,215.50 × 167,215.50
  4. Step 4: Simplify right side
    75,202.50x = 27,961,023,440.25
  5. Step 5: Solve for x
    x = 27,961,023,440.25/75,202.50
  6. Step 6: Final answer
    x = 371,809.76

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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.