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Finding the Third Proportional to 117 and 127.69

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Solution

The third proportional to 117 and 127.69 is: 139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 127.69 = 127.69 : x
  2. Step 2: Convert to fraction form
    117/127.69 = 127.69/x
  3. Step 3: Cross multiply
    117x = 127.69 × 127.69
  4. Step 4: Simplify right side
    117x = 16,304.10
  5. Step 5: Solve for x
    x = 16,304.10/117
  6. Step 6: Final answer
    x = 139.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.