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Finding the Third Proportional to 53,813 and 106,246

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Solution

The third proportional to 53,813 and 106,246 is: 209,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813 : 106,246 = 106,246 : x
  2. Step 2: Convert to fraction form
    53,813/106,246 = 106,246/x
  3. Step 3: Cross multiply
    53,813x = 106,246 × 106,246
  4. Step 4: Simplify right side
    53,813x = 11,288,212,516
  5. Step 5: Solve for x
    x = 11,288,212,516/53,813
  6. Step 6: Final answer
    x = 209,767.39

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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.