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Finding the Third Proportional to 102.63 and 150.88

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Solution

The third proportional to 102.63 and 150.88 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.63 : 150.88 = 150.88 : x
  2. Step 2: Convert to fraction form
    102.63/150.88 = 150.88/x
  3. Step 3: Cross multiply
    102.63x = 150.88 × 150.88
  4. Step 4: Simplify right side
    102.63x = 22,763.27
  5. Step 5: Solve for x
    x = 22,763.27/102.63
  6. Step 6: Final answer
    x = 221.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.