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Finding the Third Proportional to 109,285 and 173,773

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Solution

The third proportional to 109,285 and 173,773 is: 276,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,285 : 173,773 = 173,773 : x
  2. Step 2: Convert to fraction form
    109,285/173,773 = 173,773/x
  3. Step 3: Cross multiply
    109,285x = 173,773 × 173,773
  4. Step 4: Simplify right side
    109,285x = 30,197,055,529
  5. Step 5: Solve for x
    x = 30,197,055,529/109,285
  6. Step 6: Final answer
    x = 276,314.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.