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Finding the Third Proportional to 62,706.38 and 133,917.75

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Solution

The third proportional to 62,706.38 and 133,917.75 is: 285,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,706.38 : 133,917.75 = 133,917.75 : x
  2. Step 2: Convert to fraction form
    62,706.38/133,917.75 = 133,917.75/x
  3. Step 3: Cross multiply
    62,706.38x = 133,917.75 × 133,917.75
  4. Step 4: Simplify right side
    62,706.38x = 17,933,963,765.06
  5. Step 5: Solve for x
    x = 17,933,963,765.06/62,706.38
  6. Step 6: Final answer
    x = 285,999.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.