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Finding the Third Proportional to 83,042 and 128,938

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Solution

The third proportional to 83,042 and 128,938 is: 200,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042 : 128,938 = 128,938 : x
  2. Step 2: Convert to fraction form
    83,042/128,938 = 128,938/x
  3. Step 3: Cross multiply
    83,042x = 128,938 × 128,938
  4. Step 4: Simplify right side
    83,042x = 16,625,007,844
  5. Step 5: Solve for x
    x = 16,625,007,844/83,042
  6. Step 6: Final answer
    x = 200,199.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.