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Finding the Third Proportional to 117,660.94 and 180,025.03

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Solution

The third proportional to 117,660.94 and 180,025.03 is: 275,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,660.94 : 180,025.03 = 180,025.03 : x
  2. Step 2: Convert to fraction form
    117,660.94/180,025.03 = 180,025.03/x
  3. Step 3: Cross multiply
    117,660.94x = 180,025.03 × 180,025.03
  4. Step 4: Simplify right side
    117,660.94x = 32,409,011,876.56
  5. Step 5: Solve for x
    x = 32,409,011,876.56/117,660.94
  6. Step 6: Final answer
    x = 275,444.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.