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Finding the Third Proportional to 131,558 and 196,561

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Solution

The third proportional to 131,558 and 196,561 is: 293,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,558 : 196,561 = 196,561 : x
  2. Step 2: Convert to fraction form
    131,558/196,561 = 196,561/x
  3. Step 3: Cross multiply
    131,558x = 196,561 × 196,561
  4. Step 4: Simplify right side
    131,558x = 38,636,226,721
  5. Step 5: Solve for x
    x = 38,636,226,721/131,558
  6. Step 6: Final answer
    x = 293,682.08

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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.