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Finding the Third Proportional to 69.19 and 90.07

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Solution

The third proportional to 69.19 and 90.07 is: 117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 90.07 = 90.07 : x
  2. Step 2: Convert to fraction form
    69.19/90.07 = 90.07/x
  3. Step 3: Cross multiply
    69.19x = 90.07 × 90.07
  4. Step 4: Simplify right side
    69.19x = 8,112.66
  5. Step 5: Solve for x
    x = 8,112.66/69.19
  6. Step 6: Final answer
    x = 117.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.