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Finding the Third Proportional to 115,782.75 and 173,188.13

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Solution

The third proportional to 115,782.75 and 173,188.13 is: 259,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,782.75 : 173,188.13 = 173,188.13 : x
  2. Step 2: Convert to fraction form
    115,782.75/173,188.13 = 173,188.13/x
  3. Step 3: Cross multiply
    115,782.75x = 173,188.13 × 173,188.13
  4. Step 4: Simplify right side
    115,782.75x = 29,994,126,641.02
  5. Step 5: Solve for x
    x = 29,994,126,641.02/115,782.75
  6. Step 6: Final answer
    x = 259,055.23

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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.