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Finding the Third Proportional to 133,097 and 146,219

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Solution

The third proportional to 133,097 and 146,219 is: 160,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097 : 146,219 = 146,219 : x
  2. Step 2: Convert to fraction form
    133,097/146,219 = 146,219/x
  3. Step 3: Cross multiply
    133,097x = 146,219 × 146,219
  4. Step 4: Simplify right side
    133,097x = 21,379,995,961
  5. Step 5: Solve for x
    x = 21,379,995,961/133,097
  6. Step 6: Final answer
    x = 160,634.69

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.