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Finding the Third Proportional to 42.19 and 93.23

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Solution

The third proportional to 42.19 and 93.23 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 93.23 = 93.23 : x
  2. Step 2: Convert to fraction form
    42.19/93.23 = 93.23/x
  3. Step 3: Cross multiply
    42.19x = 93.23 × 93.23
  4. Step 4: Simplify right side
    42.19x = 8,692.65
  5. Step 5: Solve for x
    x = 8,692.65/42.19
  6. Step 6: Final answer
    x = 206.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.