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Finding the Third Proportional to 95.16 and 140.72

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Solution

The third proportional to 95.16 and 140.72 is: 208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.16 : 140.72 = 140.72 : x
  2. Step 2: Convert to fraction form
    95.16/140.72 = 140.72/x
  3. Step 3: Cross multiply
    95.16x = 140.72 × 140.72
  4. Step 4: Simplify right side
    95.16x = 19,801.77
  5. Step 5: Solve for x
    x = 19,801.77/95.16
  6. Step 6: Final answer
    x = 208.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.