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Finding the Third Proportional to 69,970.50 and 179,425.13

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Solution

The third proportional to 69,970.50 and 179,425.13 is: 460,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,970.50 : 179,425.13 = 179,425.13 : x
  2. Step 2: Convert to fraction form
    69,970.50/179,425.13 = 179,425.13/x
  3. Step 3: Cross multiply
    69,970.50x = 179,425.13 × 179,425.13
  4. Step 4: Simplify right side
    69,970.50x = 32,193,375,481.27
  5. Step 5: Solve for x
    x = 32,193,375,481.27/69,970.50
  6. Step 6: Final answer
    x = 460,099.26

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.