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Finding the Third Proportional to 76,732 and 164,122

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Solution

The third proportional to 76,732 and 164,122 is: 351,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732 : 164,122 = 164,122 : x
  2. Step 2: Convert to fraction form
    76,732/164,122 = 164,122/x
  3. Step 3: Cross multiply
    76,732x = 164,122 × 164,122
  4. Step 4: Simplify right side
    76,732x = 26,936,030,884
  5. Step 5: Solve for x
    x = 26,936,030,884/76,732
  6. Step 6: Final answer
    x = 351,040.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.