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Finding the Third Proportional to 125.25 and 191.63

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Solution

The third proportional to 125.25 and 191.63 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.25 : 191.63 = 191.63 : x
  2. Step 2: Convert to fraction form
    125.25/191.63 = 191.63/x
  3. Step 3: Cross multiply
    125.25x = 191.63 × 191.63
  4. Step 4: Simplify right side
    125.25x = 36,720.14
  5. Step 5: Solve for x
    x = 36,720.14/125.25
  6. Step 6: Final answer
    x = 293.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.