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Finding the Third Proportional to 91,794 and 140,329

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Solution

The third proportional to 91,794 and 140,329 is: 214,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,794 : 140,329 = 140,329 : x
  2. Step 2: Convert to fraction form
    91,794/140,329 = 140,329/x
  3. Step 3: Cross multiply
    91,794x = 140,329 × 140,329
  4. Step 4: Simplify right side
    91,794x = 19,692,228,241
  5. Step 5: Solve for x
    x = 19,692,228,241/91,794
  6. Step 6: Final answer
    x = 214,526.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.