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Finding the Third Proportional to 82.58 and 124.11

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Solution

The third proportional to 82.58 and 124.11 is: 186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 124.11 = 124.11 : x
  2. Step 2: Convert to fraction form
    82.58/124.11 = 124.11/x
  3. Step 3: Cross multiply
    82.58x = 124.11 × 124.11
  4. Step 4: Simplify right side
    82.58x = 15,403.38
  5. Step 5: Solve for x
    x = 15,403.38/82.58
  6. Step 6: Final answer
    x = 186.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.