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Finding the Third Proportional to 58,991 and 127,821

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Solution

The third proportional to 58,991 and 127,821 is: 276,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,991 : 127,821 = 127,821 : x
  2. Step 2: Convert to fraction form
    58,991/127,821 = 127,821/x
  3. Step 3: Cross multiply
    58,991x = 127,821 × 127,821
  4. Step 4: Simplify right side
    58,991x = 16,338,208,041
  5. Step 5: Solve for x
    x = 16,338,208,041/58,991
  6. Step 6: Final answer
    x = 276,961.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.