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Finding the Third Proportional to 65,124 and 133,704

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Solution

The third proportional to 65,124 and 133,704 is: 274,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,124 : 133,704 = 133,704 : x
  2. Step 2: Convert to fraction form
    65,124/133,704 = 133,704/x
  3. Step 3: Cross multiply
    65,124x = 133,704 × 133,704
  4. Step 4: Simplify right side
    65,124x = 17,876,759,616
  5. Step 5: Solve for x
    x = 17,876,759,616/65,124
  6. Step 6: Final answer
    x = 274,503.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.