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Finding the Third Proportional to 64,168.50 and 103,382.25

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Solution

The third proportional to 64,168.50 and 103,382.25 is: 166,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168.50 : 103,382.25 = 103,382.25 : x
  2. Step 2: Convert to fraction form
    64,168.50/103,382.25 = 103,382.25/x
  3. Step 3: Cross multiply
    64,168.50x = 103,382.25 × 103,382.25
  4. Step 4: Simplify right side
    64,168.50x = 10,687,889,615.06
  5. Step 5: Solve for x
    x = 10,687,889,615.06/64,168.50
  6. Step 6: Final answer
    x = 166,559.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.