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Finding the Third Proportional to 131,741.12 and 197,251.45

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Solution

The third proportional to 131,741.12 and 197,251.45 is: 295,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,741.12 : 197,251.45 = 197,251.45 : x
  2. Step 2: Convert to fraction form
    131,741.12/197,251.45 = 197,251.45/x
  3. Step 3: Cross multiply
    131,741.12x = 197,251.45 × 197,251.45
  4. Step 4: Simplify right side
    131,741.12x = 38,908,135,759.92
  5. Step 5: Solve for x
    x = 38,908,135,759.92/131,741.12
  6. Step 6: Final answer
    x = 295,337.82

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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.