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Finding the Third Proportional to 61,964 and 131,916

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Solution

The third proportional to 61,964 and 131,916 is: 280,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,964 : 131,916 = 131,916 : x
  2. Step 2: Convert to fraction form
    61,964/131,916 = 131,916/x
  3. Step 3: Cross multiply
    61,964x = 131,916 × 131,916
  4. Step 4: Simplify right side
    61,964x = 17,401,831,056
  5. Step 5: Solve for x
    x = 17,401,831,056/61,964
  6. Step 6: Final answer
    x = 280,837.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.