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Finding the Third Proportional to 76,719.50 and 164,100

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Solution

The third proportional to 76,719.50 and 164,100 is: 351,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,719.50 : 164,100 = 164,100 : x
  2. Step 2: Convert to fraction form
    76,719.50/164,100 = 164,100/x
  3. Step 3: Cross multiply
    76,719.50x = 164,100 × 164,100
  4. Step 4: Simplify right side
    76,719.50x = 26,928,810,000
  5. Step 5: Solve for x
    x = 26,928,810,000/76,719.50
  6. Step 6: Final answer
    x = 351,003.46

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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.