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Finding the Third Proportional to 57.09 and 90.84

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Solution

The third proportional to 57.09 and 90.84 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.09 : 90.84 = 90.84 : x
  2. Step 2: Convert to fraction form
    57.09/90.84 = 90.84/x
  3. Step 3: Cross multiply
    57.09x = 90.84 × 90.84
  4. Step 4: Simplify right side
    57.09x = 8,252.59
  5. Step 5: Solve for x
    x = 8,252.59/57.09
  6. Step 6: Final answer
    x = 144.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.