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Finding the Third Proportional to 62.91 and 143.06

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Solution

The third proportional to 62.91 and 143.06 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.91 : 143.06 = 143.06 : x
  2. Step 2: Convert to fraction form
    62.91/143.06 = 143.06/x
  3. Step 3: Cross multiply
    62.91x = 143.06 × 143.06
  4. Step 4: Simplify right side
    62.91x = 20,466.88
  5. Step 5: Solve for x
    x = 20,466.88/62.91
  6. Step 6: Final answer
    x = 325.36

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.