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Finding the Third Proportional to 50,213 and 77,796

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Solution

The third proportional to 50,213 and 77,796 is: 120,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,213 : 77,796 = 77,796 : x
  2. Step 2: Convert to fraction form
    50,213/77,796 = 77,796/x
  3. Step 3: Cross multiply
    50,213x = 77,796 × 77,796
  4. Step 4: Simplify right side
    50,213x = 6,052,217,616
  5. Step 5: Solve for x
    x = 6,052,217,616/50,213
  6. Step 6: Final answer
    x = 120,530.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.