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Finding the Third Proportional to 69,270 and 151,500

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Solution

The third proportional to 69,270 and 151,500 is: 331,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,270 : 151,500 = 151,500 : x
  2. Step 2: Convert to fraction form
    69,270/151,500 = 151,500/x
  3. Step 3: Cross multiply
    69,270x = 151,500 × 151,500
  4. Step 4: Simplify right side
    69,270x = 22,952,250,000
  5. Step 5: Solve for x
    x = 22,952,250,000/69,270
  6. Step 6: Final answer
    x = 331,344.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.