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Finding the Third Proportional to 104,714 and 166,783

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Solution

The third proportional to 104,714 and 166,783 is: 265,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714 : 166,783 = 166,783 : x
  2. Step 2: Convert to fraction form
    104,714/166,783 = 166,783/x
  3. Step 3: Cross multiply
    104,714x = 166,783 × 166,783
  4. Step 4: Simplify right side
    104,714x = 27,816,569,089
  5. Step 5: Solve for x
    x = 27,816,569,089/104,714
  6. Step 6: Final answer
    x = 265,643.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.