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Finding the Third Proportional to 63.84 and 145.69

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Solution

The third proportional to 63.84 and 145.69 is: 332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.84 : 145.69 = 145.69 : x
  2. Step 2: Convert to fraction form
    63.84/145.69 = 145.69/x
  3. Step 3: Cross multiply
    63.84x = 145.69 × 145.69
  4. Step 4: Simplify right side
    63.84x = 21,224.85
  5. Step 5: Solve for x
    x = 21,224.85/63.84
  6. Step 6: Final answer
    x = 332.45

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.