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Finding the Third Proportional to 78,034.50 and 167,905

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Solution

The third proportional to 78,034.50 and 167,905 is: 361,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.50 : 167,905 = 167,905 : x
  2. Step 2: Convert to fraction form
    78,034.50/167,905 = 167,905/x
  3. Step 3: Cross multiply
    78,034.50x = 167,905 × 167,905
  4. Step 4: Simplify right side
    78,034.50x = 28,192,089,025
  5. Step 5: Solve for x
    x = 28,192,089,025/78,034.50
  6. Step 6: Final answer
    x = 361,277.24

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Why These Related Problems?

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