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Finding the Third Proportional to 69,667 and 115,261.50

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Solution

The third proportional to 69,667 and 115,261.50 is: 190,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,667 : 115,261.50 = 115,261.50 : x
  2. Step 2: Convert to fraction form
    69,667/115,261.50 = 115,261.50/x
  3. Step 3: Cross multiply
    69,667x = 115,261.50 × 115,261.50
  4. Step 4: Simplify right side
    69,667x = 13,285,213,382.25
  5. Step 5: Solve for x
    x = 13,285,213,382.25/69,667
  6. Step 6: Final answer
    x = 190,695.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.