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Finding the Third Proportional to 100,272 and 214,075

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Solution

The third proportional to 100,272 and 214,075 is: 457,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272 : 214,075 = 214,075 : x
  2. Step 2: Convert to fraction form
    100,272/214,075 = 214,075/x
  3. Step 3: Cross multiply
    100,272x = 214,075 × 214,075
  4. Step 4: Simplify right side
    100,272x = 45,828,105,625
  5. Step 5: Solve for x
    x = 45,828,105,625/100,272
  6. Step 6: Final answer
    x = 457,037.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.