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Finding the Third Proportional to 68,724 and 104,043

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Solution

The third proportional to 68,724 and 104,043 is: 157,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,724 : 104,043 = 104,043 : x
  2. Step 2: Convert to fraction form
    68,724/104,043 = 104,043/x
  3. Step 3: Cross multiply
    68,724x = 104,043 × 104,043
  4. Step 4: Simplify right side
    68,724x = 10,824,945,849
  5. Step 5: Solve for x
    x = 10,824,945,849/68,724
  6. Step 6: Final answer
    x = 157,513.33

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Why These Related Problems?

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