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Finding the Third Proportional to 84,046 and 180,836

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Solution

The third proportional to 84,046 and 180,836 is: 389,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,046 : 180,836 = 180,836 : x
  2. Step 2: Convert to fraction form
    84,046/180,836 = 180,836/x
  3. Step 3: Cross multiply
    84,046x = 180,836 × 180,836
  4. Step 4: Simplify right side
    84,046x = 32,701,658,896
  5. Step 5: Solve for x
    x = 32,701,658,896/84,046
  6. Step 6: Final answer
    x = 389,092.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.