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Finding the Third Proportional to 45,105 and 97,895

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Solution

The third proportional to 45,105 and 97,895 is: 212,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,105 : 97,895 = 97,895 : x
  2. Step 2: Convert to fraction form
    45,105/97,895 = 97,895/x
  3. Step 3: Cross multiply
    45,105x = 97,895 × 97,895
  4. Step 4: Simplify right side
    45,105x = 9,583,431,025
  5. Step 5: Solve for x
    x = 9,583,431,025/45,105
  6. Step 6: Final answer
    x = 212,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.