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Finding the Third Proportional to 56,493 and 122,823

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Solution

The third proportional to 56,493 and 122,823 is: 267,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493 : 122,823 = 122,823 : x
  2. Step 2: Convert to fraction form
    56,493/122,823 = 122,823/x
  3. Step 3: Cross multiply
    56,493x = 122,823 × 122,823
  4. Step 4: Simplify right side
    56,493x = 15,085,489,329
  5. Step 5: Solve for x
    x = 15,085,489,329/56,493
  6. Step 6: Final answer
    x = 267,032.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.