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Finding the Third Proportional to 45.97 and 93.13

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Solution

The third proportional to 45.97 and 93.13 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.97 : 93.13 = 93.13 : x
  2. Step 2: Convert to fraction form
    45.97/93.13 = 93.13/x
  3. Step 3: Cross multiply
    45.97x = 93.13 × 93.13
  4. Step 4: Simplify right side
    45.97x = 8,672.27
  5. Step 5: Solve for x
    x = 8,672.27/45.97
  6. Step 6: Final answer
    x = 188.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.