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Finding the Third Proportional to 82,143.56 and 124,311.38

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Solution

The third proportional to 82,143.56 and 124,311.38 is: 188,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.56 : 124,311.38 = 124,311.38 : x
  2. Step 2: Convert to fraction form
    82,143.56/124,311.38 = 124,311.38/x
  3. Step 3: Cross multiply
    82,143.56x = 124,311.38 × 124,311.38
  4. Step 4: Simplify right side
    82,143.56x = 15,453,317,954.39
  5. Step 5: Solve for x
    x = 15,453,317,954.39/82,143.56
  6. Step 6: Final answer
    x = 188,125.73

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Why These Related Problems?

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