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Finding the Third Proportional to 75,228.75 and 167,064.75

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Solution

The third proportional to 75,228.75 and 167,064.75 is: 371,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.75 : 167,064.75 = 167,064.75 : x
  2. Step 2: Convert to fraction form
    75,228.75/167,064.75 = 167,064.75/x
  3. Step 3: Cross multiply
    75,228.75x = 167,064.75 × 167,064.75
  4. Step 4: Simplify right side
    75,228.75x = 27,910,630,692.56
  5. Step 5: Solve for x
    x = 27,910,630,692.56/75,228.75
  6. Step 6: Final answer
    x = 371,010.16

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