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Finding the Third Proportional to 124,596 and 264,771

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Solution

The third proportional to 124,596 and 264,771 is: 562,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,596 : 264,771 = 264,771 : x
  2. Step 2: Convert to fraction form
    124,596/264,771 = 264,771/x
  3. Step 3: Cross multiply
    124,596x = 264,771 × 264,771
  4. Step 4: Simplify right side
    124,596x = 70,103,682,441
  5. Step 5: Solve for x
    x = 70,103,682,441/124,596
  6. Step 6: Final answer
    x = 562,647.94

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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.