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Finding the Third Proportional to 69,600 and 110,912

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Solution

The third proportional to 69,600 and 110,912 is: 176,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,600 : 110,912 = 110,912 : x
  2. Step 2: Convert to fraction form
    69,600/110,912 = 110,912/x
  3. Step 3: Cross multiply
    69,600x = 110,912 × 110,912
  4. Step 4: Simplify right side
    69,600x = 12,301,471,744
  5. Step 5: Solve for x
    x = 12,301,471,744/69,600
  6. Step 6: Final answer
    x = 176,745.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.