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Finding the Third Proportional to 39,197 and 84,538

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Solution

The third proportional to 39,197 and 84,538 is: 182,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197 : 84,538 = 84,538 : x
  2. Step 2: Convert to fraction form
    39,197/84,538 = 84,538/x
  3. Step 3: Cross multiply
    39,197x = 84,538 × 84,538
  4. Step 4: Simplify right side
    39,197x = 7,146,673,444
  5. Step 5: Solve for x
    x = 7,146,673,444/39,197
  6. Step 6: Final answer
    x = 182,327.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.