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Finding the Third Proportional to 76,474 and 167,721.50

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Solution

The third proportional to 76,474 and 167,721.50 is: 367,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474 : 167,721.50 = 167,721.50 : x
  2. Step 2: Convert to fraction form
    76,474/167,721.50 = 167,721.50/x
  3. Step 3: Cross multiply
    76,474x = 167,721.50 × 167,721.50
  4. Step 4: Simplify right side
    76,474x = 28,130,501,562.25
  5. Step 5: Solve for x
    x = 28,130,501,562.25/76,474
  6. Step 6: Final answer
    x = 367,843.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.