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Finding the Third Proportional to 56.25 and 86.91

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Solution

The third proportional to 56.25 and 86.91 is: 134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.25 : 86.91 = 86.91 : x
  2. Step 2: Convert to fraction form
    56.25/86.91 = 86.91/x
  3. Step 3: Cross multiply
    56.25x = 86.91 × 86.91
  4. Step 4: Simplify right side
    56.25x = 7,552.70
  5. Step 5: Solve for x
    x = 7,552.70/56.25
  6. Step 6: Final answer
    x = 134.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.