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Finding the Third Proportional to 84,644.25 and 133,917.38

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Solution

The third proportional to 84,644.25 and 133,917.38 is: 211,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,644.25 : 133,917.38 = 133,917.38 : x
  2. Step 2: Convert to fraction form
    84,644.25/133,917.38 = 133,917.38/x
  3. Step 3: Cross multiply
    84,644.25x = 133,917.38 × 133,917.38
  4. Step 4: Simplify right side
    84,644.25x = 17,933,863,326.89
  5. Step 5: Solve for x
    x = 17,933,863,326.89/84,644.25
  6. Step 6: Final answer
    x = 211,873.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.