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Finding the Third Proportional to 69,859 and 110,667

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Solution

The third proportional to 69,859 and 110,667 is: 175,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,859 : 110,667 = 110,667 : x
  2. Step 2: Convert to fraction form
    69,859/110,667 = 110,667/x
  3. Step 3: Cross multiply
    69,859x = 110,667 × 110,667
  4. Step 4: Simplify right side
    69,859x = 12,247,184,889
  5. Step 5: Solve for x
    x = 12,247,184,889/69,859
  6. Step 6: Final answer
    x = 175,312.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.