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Finding the Third Proportional to 61,292.25 and 131,969.25

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Solution

The third proportional to 61,292.25 and 131,969.25 is: 284,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,292.25 : 131,969.25 = 131,969.25 : x
  2. Step 2: Convert to fraction form
    61,292.25/131,969.25 = 131,969.25/x
  3. Step 3: Cross multiply
    61,292.25x = 131,969.25 × 131,969.25
  4. Step 4: Simplify right side
    61,292.25x = 17,415,882,945.56
  5. Step 5: Solve for x
    x = 17,415,882,945.56/61,292.25
  6. Step 6: Final answer
    x = 284,144.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.