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Finding the Third Proportional to 91,847 and 140,487

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Solution

The third proportional to 91,847 and 140,487 is: 214,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,847 : 140,487 = 140,487 : x
  2. Step 2: Convert to fraction form
    91,847/140,487 = 140,487/x
  3. Step 3: Cross multiply
    91,847x = 140,487 × 140,487
  4. Step 4: Simplify right side
    91,847x = 19,736,597,169
  5. Step 5: Solve for x
    x = 19,736,597,169/91,847
  6. Step 6: Final answer
    x = 214,885.59

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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.