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Finding the Third Proportional to 84,193 and 180,061

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Solution

The third proportional to 84,193 and 180,061 is: 385,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,193 : 180,061 = 180,061 : x
  2. Step 2: Convert to fraction form
    84,193/180,061 = 180,061/x
  3. Step 3: Cross multiply
    84,193x = 180,061 × 180,061
  4. Step 4: Simplify right side
    84,193x = 32,421,963,721
  5. Step 5: Solve for x
    x = 32,421,963,721/84,193
  6. Step 6: Final answer
    x = 385,090.97

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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.