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Finding the Third Proportional to 57,327.75 and 122,036.63

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Solution

The third proportional to 57,327.75 and 122,036.63 is: 259,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327.75 : 122,036.63 = 122,036.63 : x
  2. Step 2: Convert to fraction form
    57,327.75/122,036.63 = 122,036.63/x
  3. Step 3: Cross multiply
    57,327.75x = 122,036.63 × 122,036.63
  4. Step 4: Simplify right side
    57,327.75x = 14,892,937,841.39
  5. Step 5: Solve for x
    x = 14,892,937,841.39/57,327.75
  6. Step 6: Final answer
    x = 259,785.84

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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.