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Finding the Third Proportional to 50,496 and 79,032

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Solution

The third proportional to 50,496 and 79,032 is: 123,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496 : 79,032 = 79,032 : x
  2. Step 2: Convert to fraction form
    50,496/79,032 = 79,032/x
  3. Step 3: Cross multiply
    50,496x = 79,032 × 79,032
  4. Step 4: Simplify right side
    50,496x = 6,246,057,024
  5. Step 5: Solve for x
    x = 6,246,057,024/50,496
  6. Step 6: Final answer
    x = 123,694.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.