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Finding the Third Proportional to 68,157.75 and 103,462.88

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Solution

The third proportional to 68,157.75 and 103,462.88 is: 157,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157.75 : 103,462.88 = 103,462.88 : x
  2. Step 2: Convert to fraction form
    68,157.75/103,462.88 = 103,462.88/x
  3. Step 3: Cross multiply
    68,157.75x = 103,462.88 × 103,462.88
  4. Step 4: Simplify right side
    68,157.75x = 10,704,566,503.27
  5. Step 5: Solve for x
    x = 10,704,566,503.27/68,157.75
  6. Step 6: Final answer
    x = 157,055.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.