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Finding the Third Proportional to 83,268 and 169,938

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Solution

The third proportional to 83,268 and 169,938 is: 346,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268 : 169,938 = 169,938 : x
  2. Step 2: Convert to fraction form
    83,268/169,938 = 169,938/x
  3. Step 3: Cross multiply
    83,268x = 169,938 × 169,938
  4. Step 4: Simplify right side
    83,268x = 28,878,923,844
  5. Step 5: Solve for x
    x = 28,878,923,844/83,268
  6. Step 6: Final answer
    x = 346,818.99

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.