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Finding the Third Proportional to 44,746 and 94,096

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Solution

The third proportional to 44,746 and 94,096 is: 197,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,746 : 94,096 = 94,096 : x
  2. Step 2: Convert to fraction form
    44,746/94,096 = 94,096/x
  3. Step 3: Cross multiply
    44,746x = 94,096 × 94,096
  4. Step 4: Simplify right side
    44,746x = 8,854,057,216
  5. Step 5: Solve for x
    x = 8,854,057,216/44,746
  6. Step 6: Final answer
    x = 197,873.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.