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Finding the Third Proportional to 50,222 and 73,410

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Solution

The third proportional to 50,222 and 73,410 is: 107,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222 : 73,410 = 73,410 : x
  2. Step 2: Convert to fraction form
    50,222/73,410 = 73,410/x
  3. Step 3: Cross multiply
    50,222x = 73,410 × 73,410
  4. Step 4: Simplify right side
    50,222x = 5,389,028,100
  5. Step 5: Solve for x
    x = 5,389,028,100/50,222
  6. Step 6: Final answer
    x = 107,304.13

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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.