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Finding the Third Proportional to 84,714 and 181,062

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Solution

The third proportional to 84,714 and 181,062 is: 386,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714 : 181,062 = 181,062 : x
  2. Step 2: Convert to fraction form
    84,714/181,062 = 181,062/x
  3. Step 3: Cross multiply
    84,714x = 181,062 × 181,062
  4. Step 4: Simplify right side
    84,714x = 32,783,447,844
  5. Step 5: Solve for x
    x = 32,783,447,844/84,714
  6. Step 6: Final answer
    x = 386,989.73

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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.