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Finding the Third Proportional to 100,133 and 203,029

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Solution

The third proportional to 100,133 and 203,029 is: 411,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,133 : 203,029 = 203,029 : x
  2. Step 2: Convert to fraction form
    100,133/203,029 = 203,029/x
  3. Step 3: Cross multiply
    100,133x = 203,029 × 203,029
  4. Step 4: Simplify right side
    100,133x = 41,220,774,841
  5. Step 5: Solve for x
    x = 41,220,774,841/100,133
  6. Step 6: Final answer
    x = 411,660.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.