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Finding the Third Proportional to 69,671 and 104,664

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Solution

The third proportional to 69,671 and 104,664 is: 157,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,671 : 104,664 = 104,664 : x
  2. Step 2: Convert to fraction form
    69,671/104,664 = 104,664/x
  3. Step 3: Cross multiply
    69,671x = 104,664 × 104,664
  4. Step 4: Simplify right side
    69,671x = 10,954,552,896
  5. Step 5: Solve for x
    x = 10,954,552,896/69,671
  6. Step 6: Final answer
    x = 157,232.61

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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.