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Finding the Third Proportional to 53,814 and 106,252

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Solution

The third proportional to 53,814 and 106,252 is: 209,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814 : 106,252 = 106,252 : x
  2. Step 2: Convert to fraction form
    53,814/106,252 = 106,252/x
  3. Step 3: Cross multiply
    53,814x = 106,252 × 106,252
  4. Step 4: Simplify right side
    53,814x = 11,289,487,504
  5. Step 5: Solve for x
    x = 11,289,487,504/53,814
  6. Step 6: Final answer
    x = 209,787.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.