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Finding the Third Proportional to 133,048 and 289,061

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Solution

The third proportional to 133,048 and 289,061 is: 628,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 289,061 = 289,061 : x
  2. Step 2: Convert to fraction form
    133,048/289,061 = 289,061/x
  3. Step 3: Cross multiply
    133,048x = 289,061 × 289,061
  4. Step 4: Simplify right side
    133,048x = 83,556,261,721
  5. Step 5: Solve for x
    x = 83,556,261,721/133,048
  6. Step 6: Final answer
    x = 628,015.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.