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Finding the Third Proportional to 61,333 and 135,769

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Solution

The third proportional to 61,333 and 135,769 is: 300,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,333 : 135,769 = 135,769 : x
  2. Step 2: Convert to fraction form
    61,333/135,769 = 135,769/x
  3. Step 3: Cross multiply
    61,333x = 135,769 × 135,769
  4. Step 4: Simplify right side
    61,333x = 18,433,221,361
  5. Step 5: Solve for x
    x = 18,433,221,361/61,333
  6. Step 6: Final answer
    x = 300,543.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.