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Finding the Third Proportional to 75,658 and 164,182

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Solution

The third proportional to 75,658 and 164,182 is: 356,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658 : 164,182 = 164,182 : x
  2. Step 2: Convert to fraction form
    75,658/164,182 = 164,182/x
  3. Step 3: Cross multiply
    75,658x = 164,182 × 164,182
  4. Step 4: Simplify right side
    75,658x = 26,955,729,124
  5. Step 5: Solve for x
    x = 26,955,729,124/75,658
  6. Step 6: Final answer
    x = 356,283.92

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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.