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Finding the Third Proportional to 57,967 and 122,159

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Solution

The third proportional to 57,967 and 122,159 is: 257,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,967 : 122,159 = 122,159 : x
  2. Step 2: Convert to fraction form
    57,967/122,159 = 122,159/x
  3. Step 3: Cross multiply
    57,967x = 122,159 × 122,159
  4. Step 4: Simplify right side
    57,967x = 14,922,821,281
  5. Step 5: Solve for x
    x = 14,922,821,281/57,967
  6. Step 6: Final answer
    x = 257,436.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.