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Finding the Third Proportional to 75,775 and 164,655

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Solution

The third proportional to 75,775 and 164,655 is: 357,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,775 : 164,655 = 164,655 : x
  2. Step 2: Convert to fraction form
    75,775/164,655 = 164,655/x
  3. Step 3: Cross multiply
    75,775x = 164,655 × 164,655
  4. Step 4: Simplify right side
    75,775x = 27,111,269,025
  5. Step 5: Solve for x
    x = 27,111,269,025/75,775
  6. Step 6: Final answer
    x = 357,786.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.