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Finding the Third Proportional to 104,834 and 166,071

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Solution

The third proportional to 104,834 and 166,071 is: 263,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,834 : 166,071 = 166,071 : x
  2. Step 2: Convert to fraction form
    104,834/166,071 = 166,071/x
  3. Step 3: Cross multiply
    104,834x = 166,071 × 166,071
  4. Step 4: Simplify right side
    104,834x = 27,579,577,041
  5. Step 5: Solve for x
    x = 27,579,577,041/104,834
  6. Step 6: Final answer
    x = 263,078.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.