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Finding the Third Proportional to 62,984.25 and 133,076.25

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Solution

The third proportional to 62,984.25 and 133,076.25 is: 281,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,984.25 : 133,076.25 = 133,076.25 : x
  2. Step 2: Convert to fraction form
    62,984.25/133,076.25 = 133,076.25/x
  3. Step 3: Cross multiply
    62,984.25x = 133,076.25 × 133,076.25
  4. Step 4: Simplify right side
    62,984.25x = 17,709,288,314.06
  5. Step 5: Solve for x
    x = 17,709,288,314.06/62,984.25
  6. Step 6: Final answer
    x = 281,170.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.