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Finding the Third Proportional to 131,063 and 196,389

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Solution

The third proportional to 131,063 and 196,389 is: 294,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,063 : 196,389 = 196,389 : x
  2. Step 2: Convert to fraction form
    131,063/196,389 = 196,389/x
  3. Step 3: Cross multiply
    131,063x = 196,389 × 196,389
  4. Step 4: Simplify right side
    131,063x = 38,568,639,321
  5. Step 5: Solve for x
    x = 38,568,639,321/131,063
  6. Step 6: Final answer
    x = 294,275.57

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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.