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Finding the Third Proportional to 76,723 and 167,386

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Solution

The third proportional to 76,723 and 167,386 is: 365,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,723 : 167,386 = 167,386 : x
  2. Step 2: Convert to fraction form
    76,723/167,386 = 167,386/x
  3. Step 3: Cross multiply
    76,723x = 167,386 × 167,386
  4. Step 4: Simplify right side
    76,723x = 28,018,072,996
  5. Step 5: Solve for x
    x = 28,018,072,996/76,723
  6. Step 6: Final answer
    x = 365,184.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.