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Finding the Third Proportional to 61,571.25 and 125,795.25

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Solution

The third proportional to 61,571.25 and 125,795.25 is: 257,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,571.25 : 125,795.25 = 125,795.25 : x
  2. Step 2: Convert to fraction form
    61,571.25/125,795.25 = 125,795.25/x
  3. Step 3: Cross multiply
    61,571.25x = 125,795.25 × 125,795.25
  4. Step 4: Simplify right side
    61,571.25x = 15,824,444,922.56
  5. Step 5: Solve for x
    x = 15,824,444,922.56/61,571.25
  6. Step 6: Final answer
    x = 257,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.