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Finding the Third Proportional to 84,732 and 181,696

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Solution

The third proportional to 84,732 and 181,696 is: 389,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732 : 181,696 = 181,696 : x
  2. Step 2: Convert to fraction form
    84,732/181,696 = 181,696/x
  3. Step 3: Cross multiply
    84,732x = 181,696 × 181,696
  4. Step 4: Simplify right side
    84,732x = 33,013,436,416
  5. Step 5: Solve for x
    x = 33,013,436,416/84,732
  6. Step 6: Final answer
    x = 389,621.82

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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.