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Finding the Third Proportional to 90.56 and 170.06

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Solution

The third proportional to 90.56 and 170.06 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.56 : 170.06 = 170.06 : x
  2. Step 2: Convert to fraction form
    90.56/170.06 = 170.06/x
  3. Step 3: Cross multiply
    90.56x = 170.06 × 170.06
  4. Step 4: Simplify right side
    90.56x = 28,921.25
  5. Step 5: Solve for x
    x = 28,921.25/90.56
  6. Step 6: Final answer
    x = 319.35

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.