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Finding the Third Proportional to 123.75 and 191.63

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Solution

The third proportional to 123.75 and 191.63 is: 296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 191.63 = 191.63 : x
  2. Step 2: Convert to fraction form
    123.75/191.63 = 191.63/x
  3. Step 3: Cross multiply
    123.75x = 191.63 × 191.63
  4. Step 4: Simplify right side
    123.75x = 36,720.14
  5. Step 5: Solve for x
    x = 36,720.14/123.75
  6. Step 6: Final answer
    x = 296.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.