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Finding the Third Proportional to 127.05 and 190.62

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Solution

The third proportional to 127.05 and 190.62 is: 285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.05 : 190.62 = 190.62 : x
  2. Step 2: Convert to fraction form
    127.05/190.62 = 190.62/x
  3. Step 3: Cross multiply
    127.05x = 190.62 × 190.62
  4. Step 4: Simplify right side
    127.05x = 36,334.91
  5. Step 5: Solve for x
    x = 36,334.91/127.05
  6. Step 6: Final answer
    x = 285.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.