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Finding the Third Proportional to 110.52 and 162.58

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Solution

The third proportional to 110.52 and 162.58 is: 239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.52 : 162.58 = 162.58 : x
  2. Step 2: Convert to fraction form
    110.52/162.58 = 162.58/x
  3. Step 3: Cross multiply
    110.52x = 162.58 × 162.58
  4. Step 4: Simplify right side
    110.52x = 26,433.35
  5. Step 5: Solve for x
    x = 26,433.35/110.52
  6. Step 6: Final answer
    x = 239.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.