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Finding the Third Proportional to 117.84 and 126.56

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Solution

The third proportional to 117.84 and 126.56 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 126.56 = 126.56 : x
  2. Step 2: Convert to fraction form
    117.84/126.56 = 126.56/x
  3. Step 3: Cross multiply
    117.84x = 126.56 × 126.56
  4. Step 4: Simplify right side
    117.84x = 16,018.07
  5. Step 5: Solve for x
    x = 16,018.07/117.84
  6. Step 6: Final answer
    x = 135.93

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.