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Finding the Third Proportional to 50,214 and 77,816

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Solution

The third proportional to 50,214 and 77,816 is: 120,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214 : 77,816 = 77,816 : x
  2. Step 2: Convert to fraction form
    50,214/77,816 = 77,816/x
  3. Step 3: Cross multiply
    50,214x = 77,816 × 77,816
  4. Step 4: Simplify right side
    50,214x = 6,055,329,856
  5. Step 5: Solve for x
    x = 6,055,329,856/50,214
  6. Step 6: Final answer
    x = 120,590.47

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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.