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Finding the Third Proportional to 49,953 and 106,991

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Solution

The third proportional to 49,953 and 106,991 is: 229,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,953 : 106,991 = 106,991 : x
  2. Step 2: Convert to fraction form
    49,953/106,991 = 106,991/x
  3. Step 3: Cross multiply
    49,953x = 106,991 × 106,991
  4. Step 4: Simplify right side
    49,953x = 11,447,074,081
  5. Step 5: Solve for x
    x = 11,447,074,081/49,953
  6. Step 6: Final answer
    x = 229,156.89

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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.