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Finding the Third Proportional to 61.31 and 144.28

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Solution

The third proportional to 61.31 and 144.28 is: 339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.31 : 144.28 = 144.28 : x
  2. Step 2: Convert to fraction form
    61.31/144.28 = 144.28/x
  3. Step 3: Cross multiply
    61.31x = 144.28 × 144.28
  4. Step 4: Simplify right side
    61.31x = 20,817.08
  5. Step 5: Solve for x
    x = 20,817.08/61.31
  6. Step 6: Final answer
    x = 339.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.