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Finding the Third Proportional to 102.63 and 153.56

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Solution

The third proportional to 102.63 and 153.56 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.63 : 153.56 = 153.56 : x
  2. Step 2: Convert to fraction form
    102.63/153.56 = 153.56/x
  3. Step 3: Cross multiply
    102.63x = 153.56 × 153.56
  4. Step 4: Simplify right side
    102.63x = 23,581.44
  5. Step 5: Solve for x
    x = 23,581.44/102.63
  6. Step 6: Final answer
    x = 229.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.