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Finding the Third Proportional to 50,526 and 107,916

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Solution

The third proportional to 50,526 and 107,916 is: 230,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,526 : 107,916 = 107,916 : x
  2. Step 2: Convert to fraction form
    50,526/107,916 = 107,916/x
  3. Step 3: Cross multiply
    50,526x = 107,916 × 107,916
  4. Step 4: Simplify right side
    50,526x = 11,645,863,056
  5. Step 5: Solve for x
    x = 11,645,863,056/50,526
  6. Step 6: Final answer
    x = 230,492.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.