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Finding the Third Proportional to 59.28 and 92.52

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Solution

The third proportional to 59.28 and 92.52 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.28 : 92.52 = 92.52 : x
  2. Step 2: Convert to fraction form
    59.28/92.52 = 92.52/x
  3. Step 3: Cross multiply
    59.28x = 92.52 × 92.52
  4. Step 4: Simplify right side
    59.28x = 8,559.14
  5. Step 5: Solve for x
    x = 8,559.14/59.28
  6. Step 6: Final answer
    x = 144.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.