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Finding the Third Proportional to 84,886 and 179,062

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Solution

The third proportional to 84,886 and 179,062 is: 377,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,886 : 179,062 = 179,062 : x
  2. Step 2: Convert to fraction form
    84,886/179,062 = 179,062/x
  3. Step 3: Cross multiply
    84,886x = 179,062 × 179,062
  4. Step 4: Simplify right side
    84,886x = 32,063,199,844
  5. Step 5: Solve for x
    x = 32,063,199,844/84,886
  6. Step 6: Final answer
    x = 377,720.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.