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Finding the Third Proportional to 50,630 and 110,791

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Solution

The third proportional to 50,630 and 110,791 is: 242,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,630 : 110,791 = 110,791 : x
  2. Step 2: Convert to fraction form
    50,630/110,791 = 110,791/x
  3. Step 3: Cross multiply
    50,630x = 110,791 × 110,791
  4. Step 4: Simplify right side
    50,630x = 12,274,645,681
  5. Step 5: Solve for x
    x = 12,274,645,681/50,630
  6. Step 6: Final answer
    x = 242,438.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.