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Finding the Third Proportional to 76,844 and 166,808

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Solution

The third proportional to 76,844 and 166,808 is: 362,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,844 : 166,808 = 166,808 : x
  2. Step 2: Convert to fraction form
    76,844/166,808 = 166,808/x
  3. Step 3: Cross multiply
    76,844x = 166,808 × 166,808
  4. Step 4: Simplify right side
    76,844x = 27,824,908,864
  5. Step 5: Solve for x
    x = 27,824,908,864/76,844
  6. Step 6: Final answer
    x = 362,096.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.