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Finding the Third Proportional to 115,226 and 154,851

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Solution

The third proportional to 115,226 and 154,851 is: 208,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,226 : 154,851 = 154,851 : x
  2. Step 2: Convert to fraction form
    115,226/154,851 = 154,851/x
  3. Step 3: Cross multiply
    115,226x = 154,851 × 154,851
  4. Step 4: Simplify right side
    115,226x = 23,978,832,201
  5. Step 5: Solve for x
    x = 23,978,832,201/115,226
  6. Step 6: Final answer
    x = 208,102.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.