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Finding the Third Proportional to 108,621 and 227,172.75

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Solution

The third proportional to 108,621 and 227,172.75 is: 475,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,621 : 227,172.75 = 227,172.75 : x
  2. Step 2: Convert to fraction form
    108,621/227,172.75 = 227,172.75/x
  3. Step 3: Cross multiply
    108,621x = 227,172.75 × 227,172.75
  4. Step 4: Simplify right side
    108,621x = 51,607,458,342.56
  5. Step 5: Solve for x
    x = 51,607,458,342.56/108,621
  6. Step 6: Final answer
    x = 475,114.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.