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Finding the Third Proportional to 104,819 and 166,088

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Solution

The third proportional to 104,819 and 166,088 is: 263,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,819 : 166,088 = 166,088 : x
  2. Step 2: Convert to fraction form
    104,819/166,088 = 166,088/x
  3. Step 3: Cross multiply
    104,819x = 166,088 × 166,088
  4. Step 4: Simplify right side
    104,819x = 27,585,223,744
  5. Step 5: Solve for x
    x = 27,585,223,744/104,819
  6. Step 6: Final answer
    x = 263,170.07

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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.