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Finding the Third Proportional to 75,763 and 115,951

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Solution

The third proportional to 75,763 and 115,951 is: 177,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,763 : 115,951 = 115,951 : x
  2. Step 2: Convert to fraction form
    75,763/115,951 = 115,951/x
  3. Step 3: Cross multiply
    75,763x = 115,951 × 115,951
  4. Step 4: Simplify right side
    75,763x = 13,444,634,401
  5. Step 5: Solve for x
    x = 13,444,634,401/75,763
  6. Step 6: Final answer
    x = 177,456.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.