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Finding the Third Proportional to 71,896 and 154,200

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Solution

The third proportional to 71,896 and 154,200 is: 330,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,896 : 154,200 = 154,200 : x
  2. Step 2: Convert to fraction form
    71,896/154,200 = 154,200/x
  3. Step 3: Cross multiply
    71,896x = 154,200 × 154,200
  4. Step 4: Simplify right side
    71,896x = 23,777,640,000
  5. Step 5: Solve for x
    x = 23,777,640,000/71,896
  6. Step 6: Final answer
    x = 330,722.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.