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Finding the Third Proportional to 56.53 and 90.28

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Solution

The third proportional to 56.53 and 90.28 is: 144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 90.28 = 90.28 : x
  2. Step 2: Convert to fraction form
    56.53/90.28 = 90.28/x
  3. Step 3: Cross multiply
    56.53x = 90.28 × 90.28
  4. Step 4: Simplify right side
    56.53x = 8,150.70
  5. Step 5: Solve for x
    x = 8,150.70/56.53
  6. Step 6: Final answer
    x = 144.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.