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Finding the Third Proportional to 52,011 and 82,769

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Solution

The third proportional to 52,011 and 82,769 is: 131,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011 : 82,769 = 82,769 : x
  2. Step 2: Convert to fraction form
    52,011/82,769 = 82,769/x
  3. Step 3: Cross multiply
    52,011x = 82,769 × 82,769
  4. Step 4: Simplify right side
    52,011x = 6,850,707,361
  5. Step 5: Solve for x
    x = 6,850,707,361/52,011
  6. Step 6: Final answer
    x = 131,716.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.