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Finding the Third Proportional to 131,086.50 and 196,561.50

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Solution

The third proportional to 131,086.50 and 196,561.50 is: 294,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,086.50 : 196,561.50 = 196,561.50 : x
  2. Step 2: Convert to fraction form
    131,086.50/196,561.50 = 196,561.50/x
  3. Step 3: Cross multiply
    131,086.50x = 196,561.50 × 196,561.50
  4. Step 4: Simplify right side
    131,086.50x = 38,636,423,282.25
  5. Step 5: Solve for x
    x = 38,636,423,282.25/131,086.50
  6. Step 6: Final answer
    x = 294,739.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.