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Finding the Third Proportional to 50,355 and 117,606

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Solution

The third proportional to 50,355 and 117,606 is: 274,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,355 : 117,606 = 117,606 : x
  2. Step 2: Convert to fraction form
    50,355/117,606 = 117,606/x
  3. Step 3: Cross multiply
    50,355x = 117,606 × 117,606
  4. Step 4: Simplify right side
    50,355x = 13,831,171,236
  5. Step 5: Solve for x
    x = 13,831,171,236/50,355
  6. Step 6: Final answer
    x = 274,673.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.