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Finding the Third Proportional to 78,933 and 169,062

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Solution

The third proportional to 78,933 and 169,062 is: 362,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,933 : 169,062 = 169,062 : x
  2. Step 2: Convert to fraction form
    78,933/169,062 = 169,062/x
  3. Step 3: Cross multiply
    78,933x = 169,062 × 169,062
  4. Step 4: Simplify right side
    78,933x = 28,581,959,844
  5. Step 5: Solve for x
    x = 28,581,959,844/78,933
  6. Step 6: Final answer
    x = 362,104.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.