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Finding the Third Proportional to 100,318 and 149,334

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Solution

The third proportional to 100,318 and 149,334 is: 222,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,318 : 149,334 = 149,334 : x
  2. Step 2: Convert to fraction form
    100,318/149,334 = 149,334/x
  3. Step 3: Cross multiply
    100,318x = 149,334 × 149,334
  4. Step 4: Simplify right side
    100,318x = 22,300,643,556
  5. Step 5: Solve for x
    x = 22,300,643,556/100,318
  6. Step 6: Final answer
    x = 222,299.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.