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Finding the Third Proportional to 50,510 and 73,929

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Solution

The third proportional to 50,510 and 73,929 is: 108,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510 : 73,929 = 73,929 : x
  2. Step 2: Convert to fraction form
    50,510/73,929 = 73,929/x
  3. Step 3: Cross multiply
    50,510x = 73,929 × 73,929
  4. Step 4: Simplify right side
    50,510x = 5,465,497,041
  5. Step 5: Solve for x
    x = 5,465,497,041/50,510
  6. Step 6: Final answer
    x = 108,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.