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Finding the Third Proportional to 50,517 and 75,438

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Solution

The third proportional to 50,517 and 75,438 is: 112,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517 : 75,438 = 75,438 : x
  2. Step 2: Convert to fraction form
    50,517/75,438 = 75,438/x
  3. Step 3: Cross multiply
    50,517x = 75,438 × 75,438
  4. Step 4: Simplify right side
    50,517x = 5,690,891,844
  5. Step 5: Solve for x
    x = 5,690,891,844/50,517
  6. Step 6: Final answer
    x = 112,653.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.