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Finding the Third Proportional to 75,016.13 and 162,911.25

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Solution

The third proportional to 75,016.13 and 162,911.25 is: 353,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,016.13 : 162,911.25 = 162,911.25 : x
  2. Step 2: Convert to fraction form
    75,016.13/162,911.25 = 162,911.25/x
  3. Step 3: Cross multiply
    75,016.13x = 162,911.25 × 162,911.25
  4. Step 4: Simplify right side
    75,016.13x = 26,540,075,376.56
  5. Step 5: Solve for x
    x = 26,540,075,376.56/75,016.13
  6. Step 6: Final answer
    x = 353,791.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.