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Finding the Third Proportional to 82.78 and 147.09

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Solution

The third proportional to 82.78 and 147.09 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 147.09 = 147.09 : x
  2. Step 2: Convert to fraction form
    82.78/147.09 = 147.09/x
  3. Step 3: Cross multiply
    82.78x = 147.09 × 147.09
  4. Step 4: Simplify right side
    82.78x = 21,636.57
  5. Step 5: Solve for x
    x = 21,636.57/82.78
  6. Step 6: Final answer
    x = 261.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.