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Finding the Third Proportional to 50,778 and 77,247

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Solution

The third proportional to 50,778 and 77,247 is: 117,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778 : 77,247 = 77,247 : x
  2. Step 2: Convert to fraction form
    50,778/77,247 = 77,247/x
  3. Step 3: Cross multiply
    50,778x = 77,247 × 77,247
  4. Step 4: Simplify right side
    50,778x = 5,967,099,009
  5. Step 5: Solve for x
    x = 5,967,099,009/50,778
  6. Step 6: Final answer
    x = 117,513.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.