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Finding the Third Proportional to 124,973 and 269,908

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Solution

The third proportional to 124,973 and 269,908 is: 582,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,973 : 269,908 = 269,908 : x
  2. Step 2: Convert to fraction form
    124,973/269,908 = 269,908/x
  3. Step 3: Cross multiply
    124,973x = 269,908 × 269,908
  4. Step 4: Simplify right side
    124,973x = 72,850,328,464
  5. Step 5: Solve for x
    x = 72,850,328,464/124,973
  6. Step 6: Final answer
    x = 582,928.54

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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.