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Finding the Third Proportional to 44,907 and 94,463

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Solution

The third proportional to 44,907 and 94,463 is: 198,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,907 : 94,463 = 94,463 : x
  2. Step 2: Convert to fraction form
    44,907/94,463 = 94,463/x
  3. Step 3: Cross multiply
    44,907x = 94,463 × 94,463
  4. Step 4: Simplify right side
    44,907x = 8,923,258,369
  5. Step 5: Solve for x
    x = 8,923,258,369/44,907
  6. Step 6: Final answer
    x = 198,705.29

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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.