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Finding the Third Proportional to 77,856 and 172,992

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Solution

The third proportional to 77,856 and 172,992 is: 384,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856 : 172,992 = 172,992 : x
  2. Step 2: Convert to fraction form
    77,856/172,992 = 172,992/x
  3. Step 3: Cross multiply
    77,856x = 172,992 × 172,992
  4. Step 4: Simplify right side
    77,856x = 29,926,232,064
  5. Step 5: Solve for x
    x = 29,926,232,064/77,856
  6. Step 6: Final answer
    x = 384,379.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.