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Finding the Third Proportional to 88.31 and 142.03

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Solution

The third proportional to 88.31 and 142.03 is: 228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 142.03 = 142.03 : x
  2. Step 2: Convert to fraction form
    88.31/142.03 = 142.03/x
  3. Step 3: Cross multiply
    88.31x = 142.03 × 142.03
  4. Step 4: Simplify right side
    88.31x = 20,172.88
  5. Step 5: Solve for x
    x = 20,172.88/88.31
  6. Step 6: Final answer
    x = 228.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.