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Finding the Third Proportional to 103,869 and 169,592

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Solution

The third proportional to 103,869 and 169,592 is: 276,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,869 : 169,592 = 169,592 : x
  2. Step 2: Convert to fraction form
    103,869/169,592 = 169,592/x
  3. Step 3: Cross multiply
    103,869x = 169,592 × 169,592
  4. Step 4: Simplify right side
    103,869x = 28,761,446,464
  5. Step 5: Solve for x
    x = 28,761,446,464/103,869
  6. Step 6: Final answer
    x = 276,901.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.