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Finding the Third Proportional to 83,187 and 127,994

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Solution

The third proportional to 83,187 and 127,994 is: 196,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187 : 127,994 = 127,994 : x
  2. Step 2: Convert to fraction form
    83,187/127,994 = 127,994/x
  3. Step 3: Cross multiply
    83,187x = 127,994 × 127,994
  4. Step 4: Simplify right side
    83,187x = 16,382,464,036
  5. Step 5: Solve for x
    x = 16,382,464,036/83,187
  6. Step 6: Final answer
    x = 196,935.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.