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Finding the Third Proportional to 67,362 and 104,589

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Solution

The third proportional to 67,362 and 104,589 is: 162,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,362 : 104,589 = 104,589 : x
  2. Step 2: Convert to fraction form
    67,362/104,589 = 104,589/x
  3. Step 3: Cross multiply
    67,362x = 104,589 × 104,589
  4. Step 4: Simplify right side
    67,362x = 10,938,858,921
  5. Step 5: Solve for x
    x = 10,938,858,921/67,362
  6. Step 6: Final answer
    x = 162,389.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.