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Finding the Third Proportional to 124,626 and 264,831

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Solution

The third proportional to 124,626 and 264,831 is: 562,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,626 : 264,831 = 264,831 : x
  2. Step 2: Convert to fraction form
    124,626/264,831 = 264,831/x
  3. Step 3: Cross multiply
    124,626x = 264,831 × 264,831
  4. Step 4: Simplify right side
    124,626x = 70,135,458,561
  5. Step 5: Solve for x
    x = 70,135,458,561/124,626
  6. Step 6: Final answer
    x = 562,767.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.