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Finding the Third Proportional to 117.06 and 170.06

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Solution

The third proportional to 117.06 and 170.06 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.06 : 170.06 = 170.06 : x
  2. Step 2: Convert to fraction form
    117.06/170.06 = 170.06/x
  3. Step 3: Cross multiply
    117.06x = 170.06 × 170.06
  4. Step 4: Simplify right side
    117.06x = 28,921.25
  5. Step 5: Solve for x
    x = 28,921.25/117.06
  6. Step 6: Final answer
    x = 247.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.