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Finding the Third Proportional to 95.34 and 148.50

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Solution

The third proportional to 95.34 and 148.50 is: 231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 148.50 = 148.50 : x
  2. Step 2: Convert to fraction form
    95.34/148.50 = 148.50/x
  3. Step 3: Cross multiply
    95.34x = 148.50 × 148.50
  4. Step 4: Simplify right side
    95.34x = 22,052.25
  5. Step 5: Solve for x
    x = 22,052.25/95.34
  6. Step 6: Final answer
    x = 231.29

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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.