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Finding the Third Proportional to 124,910 and 262,874

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Solution

The third proportional to 124,910 and 262,874 is: 553,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,910 : 262,874 = 262,874 : x
  2. Step 2: Convert to fraction form
    124,910/262,874 = 262,874/x
  3. Step 3: Cross multiply
    124,910x = 262,874 × 262,874
  4. Step 4: Simplify right side
    124,910x = 69,102,739,876
  5. Step 5: Solve for x
    x = 69,102,739,876/124,910
  6. Step 6: Final answer
    x = 553,220.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.