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Finding the Third Proportional to 70,560 and 100,296

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Solution

The third proportional to 70,560 and 100,296 is: 142,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,560 : 100,296 = 100,296 : x
  2. Step 2: Convert to fraction form
    70,560/100,296 = 100,296/x
  3. Step 3: Cross multiply
    70,560x = 100,296 × 100,296
  4. Step 4: Simplify right side
    70,560x = 10,059,287,616
  5. Step 5: Solve for x
    x = 10,059,287,616/70,560
  6. Step 6: Final answer
    x = 142,563.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.