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Finding the Third Proportional to 67,164.75 and 91,271.25

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Solution

The third proportional to 67,164.75 and 91,271.25 is: 124,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.75 : 91,271.25 = 91,271.25 : x
  2. Step 2: Convert to fraction form
    67,164.75/91,271.25 = 91,271.25/x
  3. Step 3: Cross multiply
    67,164.75x = 91,271.25 × 91,271.25
  4. Step 4: Simplify right side
    67,164.75x = 8,330,441,076.56
  5. Step 5: Solve for x
    x = 8,330,441,076.56/67,164.75
  6. Step 6: Final answer
    x = 124,029.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.