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Finding the Third Proportional to 67,743 and 100,635.75

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Solution

The third proportional to 67,743 and 100,635.75 is: 149,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,743 : 100,635.75 = 100,635.75 : x
  2. Step 2: Convert to fraction form
    67,743/100,635.75 = 100,635.75/x
  3. Step 3: Cross multiply
    67,743x = 100,635.75 × 100,635.75
  4. Step 4: Simplify right side
    67,743x = 10,127,554,178.06
  5. Step 5: Solve for x
    x = 10,127,554,178.06/67,743
  6. Step 6: Final answer
    x = 149,499.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.