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Finding the Third Proportional to 50,799 and 110,073

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Solution

The third proportional to 50,799 and 110,073 is: 238,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,799 : 110,073 = 110,073 : x
  2. Step 2: Convert to fraction form
    50,799/110,073 = 110,073/x
  3. Step 3: Cross multiply
    50,799x = 110,073 × 110,073
  4. Step 4: Simplify right side
    50,799x = 12,116,065,329
  5. Step 5: Solve for x
    x = 12,116,065,329/50,799
  6. Step 6: Final answer
    x = 238,509.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.