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Finding the Third Proportional to 68,584 and 103,736

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Solution

The third proportional to 68,584 and 103,736 is: 156,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,584 : 103,736 = 103,736 : x
  2. Step 2: Convert to fraction form
    68,584/103,736 = 103,736/x
  3. Step 3: Cross multiply
    68,584x = 103,736 × 103,736
  4. Step 4: Simplify right side
    68,584x = 10,761,157,696
  5. Step 5: Solve for x
    x = 10,761,157,696/68,584
  6. Step 6: Final answer
    x = 156,904.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.