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Finding the Third Proportional to 71,777 and 154,732

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Solution

The third proportional to 71,777 and 154,732 is: 333,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777 : 154,732 = 154,732 : x
  2. Step 2: Convert to fraction form
    71,777/154,732 = 154,732/x
  3. Step 3: Cross multiply
    71,777x = 154,732 × 154,732
  4. Step 4: Simplify right side
    71,777x = 23,941,991,824
  5. Step 5: Solve for x
    x = 23,941,991,824/71,777
  6. Step 6: Final answer
    x = 333,560.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.