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Finding the Third Proportional to 67,767 and 90,563.63

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Solution

The third proportional to 67,767 and 90,563.63 is: 121,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,767 : 90,563.63 = 90,563.63 : x
  2. Step 2: Convert to fraction form
    67,767/90,563.63 = 90,563.63/x
  3. Step 3: Cross multiply
    67,767x = 90,563.63 × 90,563.63
  4. Step 4: Simplify right side
    67,767x = 8,201,770,173.14
  5. Step 5: Solve for x
    x = 8,201,770,173.14/67,767
  6. Step 6: Final answer
    x = 121,028.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.