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Finding the Third Proportional to 63.19 and 131.72

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Solution

The third proportional to 63.19 and 131.72 is: 274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.19 : 131.72 = 131.72 : x
  2. Step 2: Convert to fraction form
    63.19/131.72 = 131.72/x
  3. Step 3: Cross multiply
    63.19x = 131.72 × 131.72
  4. Step 4: Simplify right side
    63.19x = 17,349.83
  5. Step 5: Solve for x
    x = 17,349.83/63.19
  6. Step 6: Final answer
    x = 274.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.