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Finding the Third Proportional to 100,152 and 203,069

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Solution

The third proportional to 100,152 and 203,069 is: 411,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152 : 203,069 = 203,069 : x
  2. Step 2: Convert to fraction form
    100,152/203,069 = 203,069/x
  3. Step 3: Cross multiply
    100,152x = 203,069 × 203,069
  4. Step 4: Simplify right side
    100,152x = 41,237,018,761
  5. Step 5: Solve for x
    x = 41,237,018,761/100,152
  6. Step 6: Final answer
    x = 411,744.34

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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.