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Finding the Third Proportional to 69,431 and 149,412

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Solution

The third proportional to 69,431 and 149,412 is: 321,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431 : 149,412 = 149,412 : x
  2. Step 2: Convert to fraction form
    69,431/149,412 = 149,412/x
  3. Step 3: Cross multiply
    69,431x = 149,412 × 149,412
  4. Step 4: Simplify right side
    69,431x = 22,323,945,744
  5. Step 5: Solve for x
    x = 22,323,945,744/69,431
  6. Step 6: Final answer
    x = 321,527.07

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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.