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Finding the Third Proportional to 131,069 and 196,135

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Solution

The third proportional to 131,069 and 196,135 is: 293,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,069 : 196,135 = 196,135 : x
  2. Step 2: Convert to fraction form
    131,069/196,135 = 196,135/x
  3. Step 3: Cross multiply
    131,069x = 196,135 × 196,135
  4. Step 4: Simplify right side
    131,069x = 38,468,938,225
  5. Step 5: Solve for x
    x = 38,468,938,225/131,069
  6. Step 6: Final answer
    x = 293,501.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.