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Finding the Third Proportional to 99,769 and 135,703

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Solution

The third proportional to 99,769 and 135,703 is: 184,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769 : 135,703 = 135,703 : x
  2. Step 2: Convert to fraction form
    99,769/135,703 = 135,703/x
  3. Step 3: Cross multiply
    99,769x = 135,703 × 135,703
  4. Step 4: Simplify right side
    99,769x = 18,415,304,209
  5. Step 5: Solve for x
    x = 18,415,304,209/99,769
  6. Step 6: Final answer
    x = 184,579.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.