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Finding the Third Proportional to 69,444 and 149,434

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Solution

The third proportional to 69,444 and 149,434 is: 321,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,444 : 149,434 = 149,434 : x
  2. Step 2: Convert to fraction form
    69,444/149,434 = 149,434/x
  3. Step 3: Cross multiply
    69,444x = 149,434 × 149,434
  4. Step 4: Simplify right side
    69,444x = 22,330,520,356
  5. Step 5: Solve for x
    x = 22,330,520,356/69,444
  6. Step 6: Final answer
    x = 321,561.55

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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.