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Finding the Third Proportional to 73,420 and 116,694

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Solution

The third proportional to 73,420 and 116,694 is: 185,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,420 : 116,694 = 116,694 : x
  2. Step 2: Convert to fraction form
    73,420/116,694 = 116,694/x
  3. Step 3: Cross multiply
    73,420x = 116,694 × 116,694
  4. Step 4: Simplify right side
    73,420x = 13,617,489,636
  5. Step 5: Solve for x
    x = 13,617,489,636/73,420
  6. Step 6: Final answer
    x = 185,473.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.