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Finding the Third Proportional to 127.20 and 187.00

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Solution

The third proportional to 127.20 and 187.00 is: 274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 187.00 = 187.00 : x
  2. Step 2: Convert to fraction form
    127.20/187.00 = 187.00/x
  3. Step 3: Cross multiply
    127.20x = 187.00 × 187.00
  4. Step 4: Simplify right side
    127.20x = 34,967.54
  5. Step 5: Solve for x
    x = 34,967.54/127.20
  6. Step 6: Final answer
    x = 274.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.