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Finding the Third Proportional to 77,776 and 171,104

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Solution

The third proportional to 77,776 and 171,104 is: 376,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,776 : 171,104 = 171,104 : x
  2. Step 2: Convert to fraction form
    77,776/171,104 = 171,104/x
  3. Step 3: Cross multiply
    77,776x = 171,104 × 171,104
  4. Step 4: Simplify right side
    77,776x = 29,276,578,816
  5. Step 5: Solve for x
    x = 29,276,578,816/77,776
  6. Step 6: Final answer
    x = 376,421.76

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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.