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Finding the Third Proportional to 102.52 and 211.36

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Solution

The third proportional to 102.52 and 211.36 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 211.36 = 211.36 : x
  2. Step 2: Convert to fraction form
    102.52/211.36 = 211.36/x
  3. Step 3: Cross multiply
    102.52x = 211.36 × 211.36
  4. Step 4: Simplify right side
    102.52x = 44,672.79
  5. Step 5: Solve for x
    x = 44,672.79/102.52
  6. Step 6: Final answer
    x = 435.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.