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Finding the Third Proportional to 57,314 and 122,009

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Solution

The third proportional to 57,314 and 122,009 is: 259,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314 : 122,009 = 122,009 : x
  2. Step 2: Convert to fraction form
    57,314/122,009 = 122,009/x
  3. Step 3: Cross multiply
    57,314x = 122,009 × 122,009
  4. Step 4: Simplify right side
    57,314x = 14,886,196,081
  5. Step 5: Solve for x
    x = 14,886,196,081/57,314
  6. Step 6: Final answer
    x = 259,730.54

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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.