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Finding the Third Proportional to 102.99 and 160.18

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Solution

The third proportional to 102.99 and 160.18 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.99 : 160.18 = 160.18 : x
  2. Step 2: Convert to fraction form
    102.99/160.18 = 160.18/x
  3. Step 3: Cross multiply
    102.99x = 160.18 × 160.18
  4. Step 4: Simplify right side
    102.99x = 25,657.85
  5. Step 5: Solve for x
    x = 25,657.85/102.99
  6. Step 6: Final answer
    x = 249.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.