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Finding the Third Proportional to 69,252 and 104,742

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Solution

The third proportional to 69,252 and 104,742 is: 158,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,252 : 104,742 = 104,742 : x
  2. Step 2: Convert to fraction form
    69,252/104,742 = 104,742/x
  3. Step 3: Cross multiply
    69,252x = 104,742 × 104,742
  4. Step 4: Simplify right side
    69,252x = 10,970,886,564
  5. Step 5: Solve for x
    x = 10,970,886,564/69,252
  6. Step 6: Final answer
    x = 158,419.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.