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Finding the Third Proportional to 68,440.50 and 100,296

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Solution

The third proportional to 68,440.50 and 100,296 is: 146,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440.50 : 100,296 = 100,296 : x
  2. Step 2: Convert to fraction form
    68,440.50/100,296 = 100,296/x
  3. Step 3: Cross multiply
    68,440.50x = 100,296 × 100,296
  4. Step 4: Simplify right side
    68,440.50x = 10,059,287,616
  5. Step 5: Solve for x
    x = 10,059,287,616/68,440.50
  6. Step 6: Final answer
    x = 146,978.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.