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Finding the Third Proportional to 131.25 and 196.13

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Solution

The third proportional to 131.25 and 196.13 is: 293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.25 : 196.13 = 196.13 : x
  2. Step 2: Convert to fraction form
    131.25/196.13 = 196.13/x
  3. Step 3: Cross multiply
    131.25x = 196.13 × 196.13
  4. Step 4: Simplify right side
    131.25x = 38,465.02
  5. Step 5: Solve for x
    x = 38,465.02/131.25
  6. Step 6: Final answer
    x = 293.07

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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.