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Finding the Third Proportional to 105.19 and 153.84

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Solution

The third proportional to 105.19 and 153.84 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 153.84 = 153.84 : x
  2. Step 2: Convert to fraction form
    105.19/153.84 = 153.84/x
  3. Step 3: Cross multiply
    105.19x = 153.84 × 153.84
  4. Step 4: Simplify right side
    105.19x = 23,667.90
  5. Step 5: Solve for x
    x = 23,667.90/105.19
  6. Step 6: Final answer
    x = 225.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.