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Finding the Third Proportional to 101,616 and 135,744

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Solution

The third proportional to 101,616 and 135,744 is: 181,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,616 : 135,744 = 135,744 : x
  2. Step 2: Convert to fraction form
    101,616/135,744 = 135,744/x
  3. Step 3: Cross multiply
    101,616x = 135,744 × 135,744
  4. Step 4: Simplify right side
    101,616x = 18,426,433,536
  5. Step 5: Solve for x
    x = 18,426,433,536/101,616
  6. Step 6: Final answer
    x = 181,333.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.