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Finding the Third Proportional to 69,371 and 149,263

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Solution

The third proportional to 69,371 and 149,263 is: 321,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,371 : 149,263 = 149,263 : x
  2. Step 2: Convert to fraction form
    69,371/149,263 = 149,263/x
  3. Step 3: Cross multiply
    69,371x = 149,263 × 149,263
  4. Step 4: Simplify right side
    69,371x = 22,279,443,169
  5. Step 5: Solve for x
    x = 22,279,443,169/69,371
  6. Step 6: Final answer
    x = 321,163.64

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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.