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Finding the Third Proportional to 45.13 and 92.64

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Solution

The third proportional to 45.13 and 92.64 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.13 : 92.64 = 92.64 : x
  2. Step 2: Convert to fraction form
    45.13/92.64 = 92.64/x
  3. Step 3: Cross multiply
    45.13x = 92.64 × 92.64
  4. Step 4: Simplify right side
    45.13x = 8,581.74
  5. Step 5: Solve for x
    x = 8,581.74/45.13
  6. Step 6: Final answer
    x = 190.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.