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Finding the Third Proportional to 78,073.50 and 167,987.25

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Solution

The third proportional to 78,073.50 and 167,987.25 is: 361,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.50 : 167,987.25 = 167,987.25 : x
  2. Step 2: Convert to fraction form
    78,073.50/167,987.25 = 167,987.25/x
  3. Step 3: Cross multiply
    78,073.50x = 167,987.25 × 167,987.25
  4. Step 4: Simplify right side
    78,073.50x = 28,219,716,162.56
  5. Step 5: Solve for x
    x = 28,219,716,162.56/78,073.50
  6. Step 6: Final answer
    x = 361,450.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.