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Finding the Third Proportional to 69,754 and 151,100

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Solution

The third proportional to 69,754 and 151,100 is: 327,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,754 : 151,100 = 151,100 : x
  2. Step 2: Convert to fraction form
    69,754/151,100 = 151,100/x
  3. Step 3: Cross multiply
    69,754x = 151,100 × 151,100
  4. Step 4: Simplify right side
    69,754x = 22,831,210,000
  5. Step 5: Solve for x
    x = 22,831,210,000/69,754
  6. Step 6: Final answer
    x = 327,310.41

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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.