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Finding the Third Proportional to 39,285 and 83,943

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Solution

The third proportional to 39,285 and 83,943 is: 179,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,285 : 83,943 = 83,943 : x
  2. Step 2: Convert to fraction form
    39,285/83,943 = 83,943/x
  3. Step 3: Cross multiply
    39,285x = 83,943 × 83,943
  4. Step 4: Simplify right side
    39,285x = 7,046,427,249
  5. Step 5: Solve for x
    x = 7,046,427,249/39,285
  6. Step 6: Final answer
    x = 179,366.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.