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Finding the Third Proportional to 82,950 and 125,105

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Solution

The third proportional to 82,950 and 125,105 is: 188,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950 : 125,105 = 125,105 : x
  2. Step 2: Convert to fraction form
    82,950/125,105 = 125,105/x
  3. Step 3: Cross multiply
    82,950x = 125,105 × 125,105
  4. Step 4: Simplify right side
    82,950x = 15,651,261,025
  5. Step 5: Solve for x
    x = 15,651,261,025/82,950
  6. Step 6: Final answer
    x = 188,683.07

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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.