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Finding the Third Proportional to 57,544 and 122,000

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Solution

The third proportional to 57,544 and 122,000 is: 258,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,544 : 122,000 = 122,000 : x
  2. Step 2: Convert to fraction form
    57,544/122,000 = 122,000/x
  3. Step 3: Cross multiply
    57,544x = 122,000 × 122,000
  4. Step 4: Simplify right side
    57,544x = 14,884,000,000
  5. Step 5: Solve for x
    x = 14,884,000,000/57,544
  6. Step 6: Final answer
    x = 258,654.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.