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Finding the Third Proportional to 44,344 and 94,156

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Solution

The third proportional to 44,344 and 94,156 is: 199,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,344 : 94,156 = 94,156 : x
  2. Step 2: Convert to fraction form
    44,344/94,156 = 94,156/x
  3. Step 3: Cross multiply
    44,344x = 94,156 × 94,156
  4. Step 4: Simplify right side
    44,344x = 8,865,352,336
  5. Step 5: Solve for x
    x = 8,865,352,336/44,344
  6. Step 6: Final answer
    x = 199,922.25

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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.