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Finding the Third Proportional to 66.50 and 97.51

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Solution

The third proportional to 66.50 and 97.51 is: 142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 97.51 = 97.51 : x
  2. Step 2: Convert to fraction form
    66.50/97.51 = 97.51/x
  3. Step 3: Cross multiply
    66.50x = 97.51 × 97.51
  4. Step 4: Simplify right side
    66.50x = 9,507.39
  5. Step 5: Solve for x
    x = 9,507.39/66.50
  6. Step 6: Final answer
    x = 142.97

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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.