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Finding the Third Proportional to 76,007 and 161,856

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Solution

The third proportional to 76,007 and 161,856 is: 344,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,007 : 161,856 = 161,856 : x
  2. Step 2: Convert to fraction form
    76,007/161,856 = 161,856/x
  3. Step 3: Cross multiply
    76,007x = 161,856 × 161,856
  4. Step 4: Simplify right side
    76,007x = 26,197,364,736
  5. Step 5: Solve for x
    x = 26,197,364,736/76,007
  6. Step 6: Final answer
    x = 344,670.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.