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Finding the Third Proportional to 69,942 and 104,886

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Solution

The third proportional to 69,942 and 104,886 is: 157,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,942 : 104,886 = 104,886 : x
  2. Step 2: Convert to fraction form
    69,942/104,886 = 104,886/x
  3. Step 3: Cross multiply
    69,942x = 104,886 × 104,886
  4. Step 4: Simplify right side
    69,942x = 11,001,072,996
  5. Step 5: Solve for x
    x = 11,001,072,996/69,942
  6. Step 6: Final answer
    x = 157,288.51

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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.