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Finding the Third Proportional to 131,214.25 and 196,787

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Solution

The third proportional to 131,214.25 and 196,787 is: 295,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,214.25 : 196,787 = 196,787 : x
  2. Step 2: Convert to fraction form
    131,214.25/196,787 = 196,787/x
  3. Step 3: Cross multiply
    131,214.25x = 196,787 × 196,787
  4. Step 4: Simplify right side
    131,214.25x = 38,725,123,369
  5. Step 5: Solve for x
    x = 38,725,123,369/131,214.25
  6. Step 6: Final answer
    x = 295,128.95

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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.