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Finding the Third Proportional to 75,759 and 164,783

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Solution

The third proportional to 75,759 and 164,783 is: 358,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759 : 164,783 = 164,783 : x
  2. Step 2: Convert to fraction form
    75,759/164,783 = 164,783/x
  3. Step 3: Cross multiply
    75,759x = 164,783 × 164,783
  4. Step 4: Simplify right side
    75,759x = 27,153,437,089
  5. Step 5: Solve for x
    x = 27,153,437,089/75,759
  6. Step 6: Final answer
    x = 358,418.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.