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Finding the Third Proportional to 124,622 and 264,823

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Solution

The third proportional to 124,622 and 264,823 is: 562,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,622 : 264,823 = 264,823 : x
  2. Step 2: Convert to fraction form
    124,622/264,823 = 264,823/x
  3. Step 3: Cross multiply
    124,622x = 264,823 × 264,823
  4. Step 4: Simplify right side
    124,622x = 70,131,221,329
  5. Step 5: Solve for x
    x = 70,131,221,329/124,622
  6. Step 6: Final answer
    x = 562,751.53

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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.