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Finding the Third Proportional to 53,816 and 106,250

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Solution

The third proportional to 53,816 and 106,250 is: 209,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816 : 106,250 = 106,250 : x
  2. Step 2: Convert to fraction form
    53,816/106,250 = 106,250/x
  3. Step 3: Cross multiply
    53,816x = 106,250 × 106,250
  4. Step 4: Simplify right side
    53,816x = 11,289,062,500
  5. Step 5: Solve for x
    x = 11,289,062,500/53,816
  6. Step 6: Final answer
    x = 209,771.49

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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.