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Finding the Third Proportional to 45,885 and 99,114

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Solution

The third proportional to 45,885 and 99,114 is: 214,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,885 : 99,114 = 99,114 : x
  2. Step 2: Convert to fraction form
    45,885/99,114 = 99,114/x
  3. Step 3: Cross multiply
    45,885x = 99,114 × 99,114
  4. Step 4: Simplify right side
    45,885x = 9,823,584,996
  5. Step 5: Solve for x
    x = 9,823,584,996/45,885
  6. Step 6: Final answer
    x = 214,091.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.