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Finding the Third Proportional to 83,054 and 128,949

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Solution

The third proportional to 83,054 and 128,949 is: 200,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054 : 128,949 = 128,949 : x
  2. Step 2: Convert to fraction form
    83,054/128,949 = 128,949/x
  3. Step 3: Cross multiply
    83,054x = 128,949 × 128,949
  4. Step 4: Simplify right side
    83,054x = 16,627,844,601
  5. Step 5: Solve for x
    x = 16,627,844,601/83,054
  6. Step 6: Final answer
    x = 200,205.22

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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.