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Finding the Third Proportional to 63,810 and 134,916

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Solution

The third proportional to 63,810 and 134,916 is: 285,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,810 : 134,916 = 134,916 : x
  2. Step 2: Convert to fraction form
    63,810/134,916 = 134,916/x
  3. Step 3: Cross multiply
    63,810x = 134,916 × 134,916
  4. Step 4: Simplify right side
    63,810x = 18,202,327,056
  5. Step 5: Solve for x
    x = 18,202,327,056/63,810
  6. Step 6: Final answer
    x = 285,258.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.