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Finding the Third Proportional to 69,896 and 104,892

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Solution

The third proportional to 69,896 and 104,892 is: 157,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,896 : 104,892 = 104,892 : x
  2. Step 2: Convert to fraction form
    69,896/104,892 = 104,892/x
  3. Step 3: Cross multiply
    69,896x = 104,892 × 104,892
  4. Step 4: Simplify right side
    69,896x = 11,002,331,664
  5. Step 5: Solve for x
    x = 11,002,331,664/69,896
  6. Step 6: Final answer
    x = 157,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.