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Finding the Third Proportional to 135,954 and 316,107

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Solution

The third proportional to 135,954 and 316,107 is: 734,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,954 : 316,107 = 316,107 : x
  2. Step 2: Convert to fraction form
    135,954/316,107 = 316,107/x
  3. Step 3: Cross multiply
    135,954x = 316,107 × 316,107
  4. Step 4: Simplify right side
    135,954x = 99,923,635,449
  5. Step 5: Solve for x
    x = 99,923,635,449/135,954
  6. Step 6: Final answer
    x = 734,981.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.