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Finding the Third Proportional to 131,980 and 212,496

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Solution

The third proportional to 131,980 and 212,496 is: 342,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,980 : 212,496 = 212,496 : x
  2. Step 2: Convert to fraction form
    131,980/212,496 = 212,496/x
  3. Step 3: Cross multiply
    131,980x = 212,496 × 212,496
  4. Step 4: Simplify right side
    131,980x = 45,154,550,016
  5. Step 5: Solve for x
    x = 45,154,550,016/131,980
  6. Step 6: Final answer
    x = 342,131.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.