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Finding the Third Proportional to 83,895 and 127,065

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Solution

The third proportional to 83,895 and 127,065 is: 192,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,895 : 127,065 = 127,065 : x
  2. Step 2: Convert to fraction form
    83,895/127,065 = 127,065/x
  3. Step 3: Cross multiply
    83,895x = 127,065 × 127,065
  4. Step 4: Simplify right side
    83,895x = 16,145,514,225
  5. Step 5: Solve for x
    x = 16,145,514,225/83,895
  6. Step 6: Final answer
    x = 192,449.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.