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Finding the Third Proportional to 56,530 and 122,372

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Solution

The third proportional to 56,530 and 122,372 is: 264,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,530 : 122,372 = 122,372 : x
  2. Step 2: Convert to fraction form
    56,530/122,372 = 122,372/x
  3. Step 3: Cross multiply
    56,530x = 122,372 × 122,372
  4. Step 4: Simplify right side
    56,530x = 14,974,906,384
  5. Step 5: Solve for x
    x = 14,974,906,384/56,530
  6. Step 6: Final answer
    x = 264,901.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.