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Finding the Third Proportional to 56,933 and 122,290

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Solution

The third proportional to 56,933 and 122,290 is: 262,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,933 : 122,290 = 122,290 : x
  2. Step 2: Convert to fraction form
    56,933/122,290 = 122,290/x
  3. Step 3: Cross multiply
    56,933x = 122,290 × 122,290
  4. Step 4: Simplify right side
    56,933x = 14,954,844,100
  5. Step 5: Solve for x
    x = 14,954,844,100/56,933
  6. Step 6: Final answer
    x = 262,674.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.