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Finding the Third Proportional to 105,254 and 166,647

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Solution

The third proportional to 105,254 and 166,647 is: 263,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,254 : 166,647 = 166,647 : x
  2. Step 2: Convert to fraction form
    105,254/166,647 = 166,647/x
  3. Step 3: Cross multiply
    105,254x = 166,647 × 166,647
  4. Step 4: Simplify right side
    105,254x = 27,771,222,609
  5. Step 5: Solve for x
    x = 27,771,222,609/105,254
  6. Step 6: Final answer
    x = 263,849.57

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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.