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Finding the Third Proportional to 62.65 and 135.26

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Solution

The third proportional to 62.65 and 135.26 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 135.26 = 135.26 : x
  2. Step 2: Convert to fraction form
    62.65/135.26 = 135.26/x
  3. Step 3: Cross multiply
    62.65x = 135.26 × 135.26
  4. Step 4: Simplify right side
    62.65x = 18,296.26
  5. Step 5: Solve for x
    x = 18,296.26/62.65
  6. Step 6: Final answer
    x = 292.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.