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Finding the Third Proportional to 117.14 and 170.86

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Solution

The third proportional to 117.14 and 170.86 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 170.86 = 170.86 : x
  2. Step 2: Convert to fraction form
    117.14/170.86 = 170.86/x
  3. Step 3: Cross multiply
    117.14x = 170.86 × 170.86
  4. Step 4: Simplify right side
    117.14x = 29,192.93
  5. Step 5: Solve for x
    x = 29,192.93/117.14
  6. Step 6: Final answer
    x = 249.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.