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Finding the Third Proportional to 83,209 and 127,895

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Solution

The third proportional to 83,209 and 127,895 is: 196,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209 : 127,895 = 127,895 : x
  2. Step 2: Convert to fraction form
    83,209/127,895 = 127,895/x
  3. Step 3: Cross multiply
    83,209x = 127,895 × 127,895
  4. Step 4: Simplify right side
    83,209x = 16,357,131,025
  5. Step 5: Solve for x
    x = 16,357,131,025/83,209
  6. Step 6: Final answer
    x = 196,578.87

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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.