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Finding the Third Proportional to 63 and 135.69

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Solution

The third proportional to 63 and 135.69 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 135.69 = 135.69 : x
  2. Step 2: Convert to fraction form
    63/135.69 = 135.69/x
  3. Step 3: Cross multiply
    63x = 135.69 × 135.69
  4. Step 4: Simplify right side
    63x = 18,411.10
  5. Step 5: Solve for x
    x = 18,411.10/63
  6. Step 6: Final answer
    x = 292.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.