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Finding the Third Proportional to 76,954 and 164,858

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Solution

The third proportional to 76,954 and 164,858 is: 353,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954 : 164,858 = 164,858 : x
  2. Step 2: Convert to fraction form
    76,954/164,858 = 164,858/x
  3. Step 3: Cross multiply
    76,954x = 164,858 × 164,858
  4. Step 4: Simplify right side
    76,954x = 27,178,160,164
  5. Step 5: Solve for x
    x = 27,178,160,164/76,954
  6. Step 6: Final answer
    x = 353,174.11

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