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Finding the Third Proportional to 39,361 and 84,943

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Solution

The third proportional to 39,361 and 84,943 is: 183,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,361 : 84,943 = 84,943 : x
  2. Step 2: Convert to fraction form
    39,361/84,943 = 84,943/x
  3. Step 3: Cross multiply
    39,361x = 84,943 × 84,943
  4. Step 4: Simplify right side
    39,361x = 7,215,313,249
  5. Step 5: Solve for x
    x = 7,215,313,249/39,361
  6. Step 6: Final answer
    x = 183,311.23

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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.