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Finding the Third Proportional to 38,166 and 84,669

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Solution

The third proportional to 38,166 and 84,669 is: 187,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166 : 84,669 = 84,669 : x
  2. Step 2: Convert to fraction form
    38,166/84,669 = 84,669/x
  3. Step 3: Cross multiply
    38,166x = 84,669 × 84,669
  4. Step 4: Simplify right side
    38,166x = 7,168,839,561
  5. Step 5: Solve for x
    x = 7,168,839,561/38,166
  6. Step 6: Final answer
    x = 187,833.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.