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Finding the Third Proportional to 90.69 and 118.72

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Solution

The third proportional to 90.69 and 118.72 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.69 : 118.72 = 118.72 : x
  2. Step 2: Convert to fraction form
    90.69/118.72 = 118.72/x
  3. Step 3: Cross multiply
    90.69x = 118.72 × 118.72
  4. Step 4: Simplify right side
    90.69x = 14,094.14
  5. Step 5: Solve for x
    x = 14,094.14/90.69
  6. Step 6: Final answer
    x = 155.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.