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Finding the Third Proportional to 84,696 and 181,060

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Solution

The third proportional to 84,696 and 181,060 is: 387,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,696 : 181,060 = 181,060 : x
  2. Step 2: Convert to fraction form
    84,696/181,060 = 181,060/x
  3. Step 3: Cross multiply
    84,696x = 181,060 × 181,060
  4. Step 4: Simplify right side
    84,696x = 32,782,723,600
  5. Step 5: Solve for x
    x = 32,782,723,600/84,696
  6. Step 6: Final answer
    x = 387,063.42

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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.