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Finding the Third Proportional to 123.19 and 190.13

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Solution

The third proportional to 123.19 and 190.13 is: 293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.19 : 190.13 = 190.13 : x
  2. Step 2: Convert to fraction form
    123.19/190.13 = 190.13/x
  3. Step 3: Cross multiply
    123.19x = 190.13 × 190.13
  4. Step 4: Simplify right side
    123.19x = 36,147.52
  5. Step 5: Solve for x
    x = 36,147.52/123.19
  6. Step 6: Final answer
    x = 293.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.