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Finding the Third Proportional to 69,222 and 148,647

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Solution

The third proportional to 69,222 and 148,647 is: 319,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,222 : 148,647 = 148,647 : x
  2. Step 2: Convert to fraction form
    69,222/148,647 = 148,647/x
  3. Step 3: Cross multiply
    69,222x = 148,647 × 148,647
  4. Step 4: Simplify right side
    69,222x = 22,095,930,609
  5. Step 5: Solve for x
    x = 22,095,930,609/69,222
  6. Step 6: Final answer
    x = 319,203.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.