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Finding the Third Proportional to 50,268 and 77,886

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Solution

The third proportional to 50,268 and 77,886 is: 120,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,268 : 77,886 = 77,886 : x
  2. Step 2: Convert to fraction form
    50,268/77,886 = 77,886/x
  3. Step 3: Cross multiply
    50,268x = 77,886 × 77,886
  4. Step 4: Simplify right side
    50,268x = 6,066,228,996
  5. Step 5: Solve for x
    x = 6,066,228,996/50,268
  6. Step 6: Final answer
    x = 120,677.75

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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.