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Finding the Third Proportional to 66.56 and 143.09

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Solution

The third proportional to 66.56 and 143.09 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.56 : 143.09 = 143.09 : x
  2. Step 2: Convert to fraction form
    66.56/143.09 = 143.09/x
  3. Step 3: Cross multiply
    66.56x = 143.09 × 143.09
  4. Step 4: Simplify right side
    66.56x = 20,476.10
  5. Step 5: Solve for x
    x = 20,476.10/66.56
  6. Step 6: Final answer
    x = 307.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.