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Finding the Third Proportional to 57,511 and 124,255

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Solution

The third proportional to 57,511 and 124,255 is: 268,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511 : 124,255 = 124,255 : x
  2. Step 2: Convert to fraction form
    57,511/124,255 = 124,255/x
  3. Step 3: Cross multiply
    57,511x = 124,255 × 124,255
  4. Step 4: Simplify right side
    57,511x = 15,439,305,025
  5. Step 5: Solve for x
    x = 15,439,305,025/57,511
  6. Step 6: Final answer
    x = 268,458.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.