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Finding the Third Proportional to 69,504.75 and 115,040.25

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Solution

The third proportional to 69,504.75 and 115,040.25 is: 190,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,504.75 : 115,040.25 = 115,040.25 : x
  2. Step 2: Convert to fraction form
    69,504.75/115,040.25 = 115,040.25/x
  3. Step 3: Cross multiply
    69,504.75x = 115,040.25 × 115,040.25
  4. Step 4: Simplify right side
    69,504.75x = 13,234,259,120.06
  5. Step 5: Solve for x
    x = 13,234,259,120.06/69,504.75
  6. Step 6: Final answer
    x = 190,407.98

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.