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Finding the Third Proportional to 69,623 and 147,183

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Solution

The third proportional to 69,623 and 147,183 is: 311,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,623 : 147,183 = 147,183 : x
  2. Step 2: Convert to fraction form
    69,623/147,183 = 147,183/x
  3. Step 3: Cross multiply
    69,623x = 147,183 × 147,183
  4. Step 4: Simplify right side
    69,623x = 21,662,835,489
  5. Step 5: Solve for x
    x = 21,662,835,489/69,623
  6. Step 6: Final answer
    x = 311,144.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.