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Finding the Third Proportional to 46,144 and 102,672

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Solution

The third proportional to 46,144 and 102,672 is: 228,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144 : 102,672 = 102,672 : x
  2. Step 2: Convert to fraction form
    46,144/102,672 = 102,672/x
  3. Step 3: Cross multiply
    46,144x = 102,672 × 102,672
  4. Step 4: Simplify right side
    46,144x = 10,541,539,584
  5. Step 5: Solve for x
    x = 10,541,539,584/46,144
  6. Step 6: Final answer
    x = 228,448.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.