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Finding the Third Proportional to 57,600 and 122,112

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Solution

The third proportional to 57,600 and 122,112 is: 258,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600 : 122,112 = 122,112 : x
  2. Step 2: Convert to fraction form
    57,600/122,112 = 122,112/x
  3. Step 3: Cross multiply
    57,600x = 122,112 × 122,112
  4. Step 4: Simplify right side
    57,600x = 14,911,340,544
  5. Step 5: Solve for x
    x = 14,911,340,544/57,600
  6. Step 6: Final answer
    x = 258,877.44

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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.