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Finding the Third Proportional to 57.67 and 88.90

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Solution

The third proportional to 57.67 and 88.90 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.67 : 88.90 = 88.90 : x
  2. Step 2: Convert to fraction form
    57.67/88.90 = 88.90/x
  3. Step 3: Cross multiply
    57.67x = 88.90 × 88.90
  4. Step 4: Simplify right side
    57.67x = 7,903.26
  5. Step 5: Solve for x
    x = 7,903.26/57.67
  6. Step 6: Final answer
    x = 137.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.