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Finding the Third Proportional to 131,062 and 196,125

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Solution

The third proportional to 131,062 and 196,125 is: 293,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,062 : 196,125 = 196,125 : x
  2. Step 2: Convert to fraction form
    131,062/196,125 = 196,125/x
  3. Step 3: Cross multiply
    131,062x = 196,125 × 196,125
  4. Step 4: Simplify right side
    131,062x = 38,465,015,625
  5. Step 5: Solve for x
    x = 38,465,015,625/131,062
  6. Step 6: Final answer
    x = 293,487.17

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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.