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Finding the Third Proportional to 45,351.75 and 68,999.25

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Solution

The third proportional to 45,351.75 and 68,999.25 is: 104,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,351.75 : 68,999.25 = 68,999.25 : x
  2. Step 2: Convert to fraction form
    45,351.75/68,999.25 = 68,999.25/x
  3. Step 3: Cross multiply
    45,351.75x = 68,999.25 × 68,999.25
  4. Step 4: Simplify right side
    45,351.75x = 4,760,896,500.56
  5. Step 5: Solve for x
    x = 4,760,896,500.56/45,351.75
  6. Step 6: Final answer
    x = 104,977.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.