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Finding the Third Proportional to 115,718 and 173,904

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Solution

The third proportional to 115,718 and 173,904 is: 261,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,718 : 173,904 = 173,904 : x
  2. Step 2: Convert to fraction form
    115,718/173,904 = 173,904/x
  3. Step 3: Cross multiply
    115,718x = 173,904 × 173,904
  4. Step 4: Simplify right side
    115,718x = 30,242,601,216
  5. Step 5: Solve for x
    x = 30,242,601,216/115,718
  6. Step 6: Final answer
    x = 261,347.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.