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Finding the Third Proportional to 131,544 and 196,540

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Solution

The third proportional to 131,544 and 196,540 is: 293,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,544 : 196,540 = 196,540 : x
  2. Step 2: Convert to fraction form
    131,544/196,540 = 196,540/x
  3. Step 3: Cross multiply
    131,544x = 196,540 × 196,540
  4. Step 4: Simplify right side
    131,544x = 38,627,971,600
  5. Step 5: Solve for x
    x = 38,627,971,600/131,544
  6. Step 6: Final answer
    x = 293,650.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.