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Finding the Third Proportional to 84,714 and 186,042

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Solution

The third proportional to 84,714 and 186,042 is: 408,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714 : 186,042 = 186,042 : x
  2. Step 2: Convert to fraction form
    84,714/186,042 = 186,042/x
  3. Step 3: Cross multiply
    84,714x = 186,042 × 186,042
  4. Step 4: Simplify right side
    84,714x = 34,611,625,764
  5. Step 5: Solve for x
    x = 34,611,625,764/84,714
  6. Step 6: Final answer
    x = 408,570.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.