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Finding the Third Proportional to 75,709 and 164,675

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Solution

The third proportional to 75,709 and 164,675 is: 358,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709 : 164,675 = 164,675 : x
  2. Step 2: Convert to fraction form
    75,709/164,675 = 164,675/x
  3. Step 3: Cross multiply
    75,709x = 164,675 × 164,675
  4. Step 4: Simplify right side
    75,709x = 27,117,855,625
  5. Step 5: Solve for x
    x = 27,117,855,625/75,709
  6. Step 6: Final answer
    x = 358,185.36

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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.