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Finding the Third Proportional to 127,773 and 196,991

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Solution

The third proportional to 127,773 and 196,991 is: 303,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,773 : 196,991 = 196,991 : x
  2. Step 2: Convert to fraction form
    127,773/196,991 = 196,991/x
  3. Step 3: Cross multiply
    127,773x = 196,991 × 196,991
  4. Step 4: Simplify right side
    127,773x = 38,805,454,081
  5. Step 5: Solve for x
    x = 38,805,454,081/127,773
  6. Step 6: Final answer
    x = 303,706.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.