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Finding the Third Proportional to 61,184.25 and 86,163.75

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Solution

The third proportional to 61,184.25 and 86,163.75 is: 121,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184.25 : 86,163.75 = 86,163.75 : x
  2. Step 2: Convert to fraction form
    61,184.25/86,163.75 = 86,163.75/x
  3. Step 3: Cross multiply
    61,184.25x = 86,163.75 × 86,163.75
  4. Step 4: Simplify right side
    61,184.25x = 7,424,191,814.06
  5. Step 5: Solve for x
    x = 7,424,191,814.06/61,184.25
  6. Step 6: Final answer
    x = 121,341.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.