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Finding the Third Proportional to 44,336 and 94,144

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Solution

The third proportional to 44,336 and 94,144 is: 199,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,336 : 94,144 = 94,144 : x
  2. Step 2: Convert to fraction form
    44,336/94,144 = 94,144/x
  3. Step 3: Cross multiply
    44,336x = 94,144 × 94,144
  4. Step 4: Simplify right side
    44,336x = 8,863,092,736
  5. Step 5: Solve for x
    x = 8,863,092,736/44,336
  6. Step 6: Final answer
    x = 199,907.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.