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Finding the Third Proportional to 78,134.63 and 167,568.75

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Solution

The third proportional to 78,134.63 and 167,568.75 is: 359,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.63 : 167,568.75 = 167,568.75 : x
  2. Step 2: Convert to fraction form
    78,134.63/167,568.75 = 167,568.75/x
  3. Step 3: Cross multiply
    78,134.63x = 167,568.75 × 167,568.75
  4. Step 4: Simplify right side
    78,134.63x = 28,079,285,976.56
  5. Step 5: Solve for x
    x = 28,079,285,976.56/78,134.63
  6. Step 6: Final answer
    x = 359,370.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.