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Finding the Third Proportional to 72.14 and 95.40

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Solution

The third proportional to 72.14 and 95.40 is: 126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 95.40 = 95.40 : x
  2. Step 2: Convert to fraction form
    72.14/95.40 = 95.40/x
  3. Step 3: Cross multiply
    72.14x = 95.40 × 95.40
  4. Step 4: Simplify right side
    72.14x = 9,100.49
  5. Step 5: Solve for x
    x = 9,100.49/72.14
  6. Step 6: Final answer
    x = 126.15

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.