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Finding the Third Proportional to 42.52 and 90.70

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Solution

The third proportional to 42.52 and 90.70 is: 193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.52 : 90.70 = 90.70 : x
  2. Step 2: Convert to fraction form
    42.52/90.70 = 90.70/x
  3. Step 3: Cross multiply
    42.52x = 90.70 × 90.70
  4. Step 4: Simplify right side
    42.52x = 8,227.06
  5. Step 5: Solve for x
    x = 8,227.06/42.52
  6. Step 6: Final answer
    x = 193.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.