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Finding the Third Proportional to 66.09 and 143.63

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Solution

The third proportional to 66.09 and 143.63 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.09 : 143.63 = 143.63 : x
  2. Step 2: Convert to fraction form
    66.09/143.63 = 143.63/x
  3. Step 3: Cross multiply
    66.09x = 143.63 × 143.63
  4. Step 4: Simplify right side
    66.09x = 20,628.14
  5. Step 5: Solve for x
    x = 20,628.14/66.09
  6. Step 6: Final answer
    x = 312.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.