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Finding the Third Proportional to 67,014 and 91,014

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Solution

The third proportional to 67,014 and 91,014 is: 123,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014 : 91,014 = 91,014 : x
  2. Step 2: Convert to fraction form
    67,014/91,014 = 91,014/x
  3. Step 3: Cross multiply
    67,014x = 91,014 × 91,014
  4. Step 4: Simplify right side
    67,014x = 8,283,548,196
  5. Step 5: Solve for x
    x = 8,283,548,196/67,014
  6. Step 6: Final answer
    x = 123,609.22

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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.