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Finding the Third Proportional to 76,848 and 162,816

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Solution

The third proportional to 76,848 and 162,816 is: 344,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,848 : 162,816 = 162,816 : x
  2. Step 2: Convert to fraction form
    76,848/162,816 = 162,816/x
  3. Step 3: Cross multiply
    76,848x = 162,816 × 162,816
  4. Step 4: Simplify right side
    76,848x = 26,509,049,856
  5. Step 5: Solve for x
    x = 26,509,049,856/76,848
  6. Step 6: Final answer
    x = 344,954.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.