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Finding the Third Proportional to 84,609 and 123,997

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Solution

The third proportional to 84,609 and 123,997 is: 181,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,609 : 123,997 = 123,997 : x
  2. Step 2: Convert to fraction form
    84,609/123,997 = 123,997/x
  3. Step 3: Cross multiply
    84,609x = 123,997 × 123,997
  4. Step 4: Simplify right side
    84,609x = 15,375,256,009
  5. Step 5: Solve for x
    x = 15,375,256,009/84,609
  6. Step 6: Final answer
    x = 181,721.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.