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Finding the Third Proportional to 113.13 and 170.93

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Solution

The third proportional to 113.13 and 170.93 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.13 : 170.93 = 170.93 : x
  2. Step 2: Convert to fraction form
    113.13/170.93 = 170.93/x
  3. Step 3: Cross multiply
    113.13x = 170.93 × 170.93
  4. Step 4: Simplify right side
    113.13x = 29,216.96
  5. Step 5: Solve for x
    x = 29,216.96/113.13
  6. Step 6: Final answer
    x = 258.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.