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Finding the Third Proportional to 82,413 and 125,199

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Solution

The third proportional to 82,413 and 125,199 is: 190,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413 : 125,199 = 125,199 : x
  2. Step 2: Convert to fraction form
    82,413/125,199 = 125,199/x
  3. Step 3: Cross multiply
    82,413x = 125,199 × 125,199
  4. Step 4: Simplify right side
    82,413x = 15,674,789,601
  5. Step 5: Solve for x
    x = 15,674,789,601/82,413
  6. Step 6: Final answer
    x = 190,198.02

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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.