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Finding the Third Proportional to 80,804 and 117,606

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Solution

The third proportional to 80,804 and 117,606 is: 171,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,804 : 117,606 = 117,606 : x
  2. Step 2: Convert to fraction form
    80,804/117,606 = 117,606/x
  3. Step 3: Cross multiply
    80,804x = 117,606 × 117,606
  4. Step 4: Simplify right side
    80,804x = 13,831,171,236
  5. Step 5: Solve for x
    x = 13,831,171,236/80,804
  6. Step 6: Final answer
    x = 171,169.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.