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Finding the Third Proportional to 47,454 and 76,449

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Solution

The third proportional to 47,454 and 76,449 is: 123,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454 : 76,449 = 76,449 : x
  2. Step 2: Convert to fraction form
    47,454/76,449 = 76,449/x
  3. Step 3: Cross multiply
    47,454x = 76,449 × 76,449
  4. Step 4: Simplify right side
    47,454x = 5,844,449,601
  5. Step 5: Solve for x
    x = 5,844,449,601/47,454
  6. Step 6: Final answer
    x = 123,160.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.