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Finding the Third Proportional to 46,224 and 108,018

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Solution

The third proportional to 46,224 and 108,018 is: 252,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224 : 108,018 = 108,018 : x
  2. Step 2: Convert to fraction form
    46,224/108,018 = 108,018/x
  3. Step 3: Cross multiply
    46,224x = 108,018 × 108,018
  4. Step 4: Simplify right side
    46,224x = 11,667,888,324
  5. Step 5: Solve for x
    x = 11,667,888,324/46,224
  6. Step 6: Final answer
    x = 252,420.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.