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Finding the Third Proportional to 117,703.50 and 180,084.75

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Solution

The third proportional to 117,703.50 and 180,084.75 is: 275,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,703.50 : 180,084.75 = 180,084.75 : x
  2. Step 2: Convert to fraction form
    117,703.50/180,084.75 = 180,084.75/x
  3. Step 3: Cross multiply
    117,703.50x = 180,084.75 × 180,084.75
  4. Step 4: Simplify right side
    117,703.50x = 32,430,517,182.56
  5. Step 5: Solve for x
    x = 32,430,517,182.56/117,703.50
  6. Step 6: Final answer
    x = 275,527.21

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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.