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Finding the Third Proportional to 133.50 and 143.63

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Solution

The third proportional to 133.50 and 143.63 is: 154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 143.63 = 143.63 : x
  2. Step 2: Convert to fraction form
    133.50/143.63 = 143.63/x
  3. Step 3: Cross multiply
    133.50x = 143.63 × 143.63
  4. Step 4: Simplify right side
    133.50x = 20,628.14
  5. Step 5: Solve for x
    x = 20,628.14/133.50
  6. Step 6: Final answer
    x = 154.52

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.