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Finding the Third Proportional to 131,244 and 193,942

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Solution

The third proportional to 131,244 and 193,942 is: 286,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,244 : 193,942 = 193,942 : x
  2. Step 2: Convert to fraction form
    131,244/193,942 = 193,942/x
  3. Step 3: Cross multiply
    131,244x = 193,942 × 193,942
  4. Step 4: Simplify right side
    131,244x = 37,613,499,364
  5. Step 5: Solve for x
    x = 37,613,499,364/131,244
  6. Step 6: Final answer
    x = 286,592.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.