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Finding the Third Proportional to 77,984 and 171,856

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Solution

The third proportional to 77,984 and 171,856 is: 378,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984 : 171,856 = 171,856 : x
  2. Step 2: Convert to fraction form
    77,984/171,856 = 171,856/x
  3. Step 3: Cross multiply
    77,984x = 171,856 × 171,856
  4. Step 4: Simplify right side
    77,984x = 29,534,484,736
  5. Step 5: Solve for x
    x = 29,534,484,736/77,984
  6. Step 6: Final answer
    x = 378,724.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.