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Finding the Third Proportional to 52,769 and 77,425

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Solution

The third proportional to 52,769 and 77,425 is: 113,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769 : 77,425 = 77,425 : x
  2. Step 2: Convert to fraction form
    52,769/77,425 = 77,425/x
  3. Step 3: Cross multiply
    52,769x = 77,425 × 77,425
  4. Step 4: Simplify right side
    52,769x = 5,994,630,625
  5. Step 5: Solve for x
    x = 5,994,630,625/52,769
  6. Step 6: Final answer
    x = 113,601.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.