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Finding the Third Proportional to 38,973 and 84,174

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Solution

The third proportional to 38,973 and 84,174 is: 181,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973 : 84,174 = 84,174 : x
  2. Step 2: Convert to fraction form
    38,973/84,174 = 84,174/x
  3. Step 3: Cross multiply
    38,973x = 84,174 × 84,174
  4. Step 4: Simplify right side
    38,973x = 7,085,262,276
  5. Step 5: Solve for x
    x = 7,085,262,276/38,973
  6. Step 6: Final answer
    x = 181,799.25

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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.