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Finding the Third Proportional to 107,319 and 166,097

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Solution

The third proportional to 107,319 and 166,097 is: 257,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,319 : 166,097 = 166,097 : x
  2. Step 2: Convert to fraction form
    107,319/166,097 = 166,097/x
  3. Step 3: Cross multiply
    107,319x = 166,097 × 166,097
  4. Step 4: Simplify right side
    107,319x = 27,588,213,409
  5. Step 5: Solve for x
    x = 27,588,213,409/107,319
  6. Step 6: Final answer
    x = 257,067.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.