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Finding the Third Proportional to 67,299 and 105,582

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Solution

The third proportional to 67,299 and 105,582 is: 165,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,299 : 105,582 = 105,582 : x
  2. Step 2: Convert to fraction form
    67,299/105,582 = 105,582/x
  3. Step 3: Cross multiply
    67,299x = 105,582 × 105,582
  4. Step 4: Simplify right side
    67,299x = 11,147,558,724
  5. Step 5: Solve for x
    x = 11,147,558,724/67,299
  6. Step 6: Final answer
    x = 165,642.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.