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Finding the Third Proportional to 82,948 and 125,116

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Solution

The third proportional to 82,948 and 125,116 is: 188,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,948 : 125,116 = 125,116 : x
  2. Step 2: Convert to fraction form
    82,948/125,116 = 125,116/x
  3. Step 3: Cross multiply
    82,948x = 125,116 × 125,116
  4. Step 4: Simplify right side
    82,948x = 15,654,013,456
  5. Step 5: Solve for x
    x = 15,654,013,456/82,948
  6. Step 6: Final answer
    x = 188,720.81

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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.