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Finding the Third Proportional to 127.75 and 187.63

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Solution

The third proportional to 127.75 and 187.63 is: 275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.75 : 187.63 = 187.63 : x
  2. Step 2: Convert to fraction form
    127.75/187.63 = 187.63/x
  3. Step 3: Cross multiply
    127.75x = 187.63 × 187.63
  4. Step 4: Simplify right side
    127.75x = 35,203.14
  5. Step 5: Solve for x
    x = 35,203.14/127.75
  6. Step 6: Final answer
    x = 275.56

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Why These Related Problems?

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