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Finding the Third Proportional to 67,012 and 91,009

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Solution

The third proportional to 67,012 and 91,009 is: 123,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,012 : 91,009 = 91,009 : x
  2. Step 2: Convert to fraction form
    67,012/91,009 = 91,009/x
  3. Step 3: Cross multiply
    67,012x = 91,009 × 91,009
  4. Step 4: Simplify right side
    67,012x = 8,282,638,081
  5. Step 5: Solve for x
    x = 8,282,638,081/67,012
  6. Step 6: Final answer
    x = 123,599.33

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Why These Related Problems?

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