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Finding the Third Proportional to 56.53 and 104.91

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Solution

The third proportional to 56.53 and 104.91 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 104.91 = 104.91 : x
  2. Step 2: Convert to fraction form
    56.53/104.91 = 104.91/x
  3. Step 3: Cross multiply
    56.53x = 104.91 × 104.91
  4. Step 4: Simplify right side
    56.53x = 11,005.32
  5. Step 5: Solve for x
    x = 11,005.32/56.53
  6. Step 6: Final answer
    x = 194.68

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.