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Finding the Third Proportional to 97,326 and 166,168

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Solution

The third proportional to 97,326 and 166,168 is: 283,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,326 : 166,168 = 166,168 : x
  2. Step 2: Convert to fraction form
    97,326/166,168 = 166,168/x
  3. Step 3: Cross multiply
    97,326x = 166,168 × 166,168
  4. Step 4: Simplify right side
    97,326x = 27,611,804,224
  5. Step 5: Solve for x
    x = 27,611,804,224/97,326
  6. Step 6: Final answer
    x = 283,704.30

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.