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Finding the Third Proportional to 50,068 and 77,974

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Solution

The third proportional to 50,068 and 77,974 is: 121,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,068 : 77,974 = 77,974 : x
  2. Step 2: Convert to fraction form
    50,068/77,974 = 77,974/x
  3. Step 3: Cross multiply
    50,068x = 77,974 × 77,974
  4. Step 4: Simplify right side
    50,068x = 6,079,944,676
  5. Step 5: Solve for x
    x = 6,079,944,676/50,068
  6. Step 6: Final answer
    x = 121,433.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.