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Finding the Third Proportional to 56.25 and 85.31

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Solution

The third proportional to 56.25 and 85.31 is: 129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.25 : 85.31 = 85.31 : x
  2. Step 2: Convert to fraction form
    56.25/85.31 = 85.31/x
  3. Step 3: Cross multiply
    56.25x = 85.31 × 85.31
  4. Step 4: Simplify right side
    56.25x = 7,278.22
  5. Step 5: Solve for x
    x = 7,278.22/56.25
  6. Step 6: Final answer
    x = 129.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.