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Finding the Third Proportional to 48,454 and 104,327

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Solution

The third proportional to 48,454 and 104,327 is: 224,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,454 : 104,327 = 104,327 : x
  2. Step 2: Convert to fraction form
    48,454/104,327 = 104,327/x
  3. Step 3: Cross multiply
    48,454x = 104,327 × 104,327
  4. Step 4: Simplify right side
    48,454x = 10,884,122,929
  5. Step 5: Solve for x
    x = 10,884,122,929/48,454
  6. Step 6: Final answer
    x = 224,627.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.