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Finding the Third Proportional to 82,379.25 and 125,148.38

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Solution

The third proportional to 82,379.25 and 125,148.38 is: 190,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379.25 : 125,148.38 = 125,148.38 : x
  2. Step 2: Convert to fraction form
    82,379.25/125,148.38 = 125,148.38/x
  3. Step 3: Cross multiply
    82,379.25x = 125,148.38 × 125,148.38
  4. Step 4: Simplify right side
    82,379.25x = 15,662,115,765.14
  5. Step 5: Solve for x
    x = 15,662,115,765.14/82,379.25
  6. Step 6: Final answer
    x = 190,122.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.