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Finding the Third Proportional to 83,675.25 and 127,476.19

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Solution

The third proportional to 83,675.25 and 127,476.19 is: 194,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675.25 : 127,476.19 = 127,476.19 : x
  2. Step 2: Convert to fraction form
    83,675.25/127,476.19 = 127,476.19/x
  3. Step 3: Cross multiply
    83,675.25x = 127,476.19 × 127,476.19
  4. Step 4: Simplify right side
    83,675.25x = 16,250,178,379.54
  5. Step 5: Solve for x
    x = 16,250,178,379.54/83,675.25
  6. Step 6: Final answer
    x = 194,205.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.