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Finding the Third Proportional to 90.14 and 117.56

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Solution

The third proportional to 90.14 and 117.56 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.14 : 117.56 = 117.56 : x
  2. Step 2: Convert to fraction form
    90.14/117.56 = 117.56/x
  3. Step 3: Cross multiply
    90.14x = 117.56 × 117.56
  4. Step 4: Simplify right side
    90.14x = 13,820.94
  5. Step 5: Solve for x
    x = 13,820.94/90.14
  6. Step 6: Final answer
    x = 153.33

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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.