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Finding the Third Proportional to 114,016.50 and 171,708.75

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Solution

The third proportional to 114,016.50 and 171,708.75 is: 258,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,016.50 : 171,708.75 = 171,708.75 : x
  2. Step 2: Convert to fraction form
    114,016.50/171,708.75 = 171,708.75/x
  3. Step 3: Cross multiply
    114,016.50x = 171,708.75 × 171,708.75
  4. Step 4: Simplify right side
    114,016.50x = 29,483,894,826.56
  5. Step 5: Solve for x
    x = 29,483,894,826.56/114,016.50
  6. Step 6: Final answer
    x = 258,593.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.