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Finding the Third Proportional to 66.23 and 97.66

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Solution

The third proportional to 66.23 and 97.66 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 97.66 = 97.66 : x
  2. Step 2: Convert to fraction form
    66.23/97.66 = 97.66/x
  3. Step 3: Cross multiply
    66.23x = 97.66 × 97.66
  4. Step 4: Simplify right side
    66.23x = 9,538.27
  5. Step 5: Solve for x
    x = 9,538.27/66.23
  6. Step 6: Final answer
    x = 144.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.