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Finding the Third Proportional to 84,214.69 and 127,195.31

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Solution

The third proportional to 84,214.69 and 127,195.31 is: 192,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.69 : 127,195.31 = 127,195.31 : x
  2. Step 2: Convert to fraction form
    84,214.69/127,195.31 = 127,195.31/x
  3. Step 3: Cross multiply
    84,214.69x = 127,195.31 × 127,195.31
  4. Step 4: Simplify right side
    84,214.69x = 16,178,647,521.97
  5. Step 5: Solve for x
    x = 16,178,647,521.97/84,214.69
  6. Step 6: Final answer
    x = 192,111.95

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