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Finding the Third Proportional to 69.19 and 97.45

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Solution

The third proportional to 69.19 and 97.45 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 97.45 = 97.45 : x
  2. Step 2: Convert to fraction form
    69.19/97.45 = 97.45/x
  3. Step 3: Cross multiply
    69.19x = 97.45 × 97.45
  4. Step 4: Simplify right side
    69.19x = 9,497.11
  5. Step 5: Solve for x
    x = 9,497.11/69.19
  6. Step 6: Final answer
    x = 137.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.