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Finding the Third Proportional to 50,998 and 77,958

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Solution

The third proportional to 50,998 and 77,958 is: 119,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998 : 77,958 = 77,958 : x
  2. Step 2: Convert to fraction form
    50,998/77,958 = 77,958/x
  3. Step 3: Cross multiply
    50,998x = 77,958 × 77,958
  4. Step 4: Simplify right side
    50,998x = 6,077,449,764
  5. Step 5: Solve for x
    x = 6,077,449,764/50,998
  6. Step 6: Final answer
    x = 119,170.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.