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Finding the Third Proportional to 57,384 and 125,844

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Solution

The third proportional to 57,384 and 125,844 is: 275,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384 : 125,844 = 125,844 : x
  2. Step 2: Convert to fraction form
    57,384/125,844 = 125,844/x
  3. Step 3: Cross multiply
    57,384x = 125,844 × 125,844
  4. Step 4: Simplify right side
    57,384x = 15,836,712,336
  5. Step 5: Solve for x
    x = 15,836,712,336/57,384
  6. Step 6: Final answer
    x = 275,977.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.