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Finding the Third Proportional to 115,974 and 173,687

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Solution

The third proportional to 115,974 and 173,687 is: 260,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,974 : 173,687 = 173,687 : x
  2. Step 2: Convert to fraction form
    115,974/173,687 = 173,687/x
  3. Step 3: Cross multiply
    115,974x = 173,687 × 173,687
  4. Step 4: Simplify right side
    115,974x = 30,167,173,969
  5. Step 5: Solve for x
    x = 30,167,173,969/115,974
  6. Step 6: Final answer
    x = 260,120.15

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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.