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Finding the Third Proportional to 131,439.75 and 196,937.63

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Solution

The third proportional to 131,439.75 and 196,937.63 is: 295,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,439.75 : 196,937.63 = 196,937.63 : x
  2. Step 2: Convert to fraction form
    131,439.75/196,937.63 = 196,937.63/x
  3. Step 3: Cross multiply
    131,439.75x = 196,937.63 × 196,937.63
  4. Step 4: Simplify right side
    131,439.75x = 38,784,428,140.64
  5. Step 5: Solve for x
    x = 38,784,428,140.64/131,439.75
  6. Step 6: Final answer
    x = 295,073.81

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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.