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Finding the Third Proportional to 76,704.47 and 164,069.72

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Solution

The third proportional to 76,704.47 and 164,069.72 is: 350,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704.47 : 164,069.72 = 164,069.72 : x
  2. Step 2: Convert to fraction form
    76,704.47/164,069.72 = 164,069.72/x
  3. Step 3: Cross multiply
    76,704.47x = 164,069.72 × 164,069.72
  4. Step 4: Simplify right side
    76,704.47x = 26,918,872,610.70
  5. Step 5: Solve for x
    x = 26,918,872,610.70/76,704.47
  6. Step 6: Final answer
    x = 350,942.69

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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.