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Finding the Third Proportional to 121,304 and 177,996

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Solution

The third proportional to 121,304 and 177,996 is: 261,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,304 : 177,996 = 177,996 : x
  2. Step 2: Convert to fraction form
    121,304/177,996 = 177,996/x
  3. Step 3: Cross multiply
    121,304x = 177,996 × 177,996
  4. Step 4: Simplify right side
    121,304x = 31,682,576,016
  5. Step 5: Solve for x
    x = 31,682,576,016/121,304
  6. Step 6: Final answer
    x = 261,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.