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Finding the Third Proportional to 82.13 and 122.63

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Solution

The third proportional to 82.13 and 122.63 is: 183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 122.63 = 122.63 : x
  2. Step 2: Convert to fraction form
    82.13/122.63 = 122.63/x
  3. Step 3: Cross multiply
    82.13x = 122.63 × 122.63
  4. Step 4: Simplify right side
    82.13x = 15,036.89
  5. Step 5: Solve for x
    x = 15,036.89/82.13
  6. Step 6: Final answer
    x = 183.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.