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Finding the Third Proportional to 55,437 and 105,771

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Solution

The third proportional to 55,437 and 105,771 is: 201,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,437 : 105,771 = 105,771 : x
  2. Step 2: Convert to fraction form
    55,437/105,771 = 105,771/x
  3. Step 3: Cross multiply
    55,437x = 105,771 × 105,771
  4. Step 4: Simplify right side
    55,437x = 11,187,504,441
  5. Step 5: Solve for x
    x = 11,187,504,441/55,437
  6. Step 6: Final answer
    x = 201,805.73

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.