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Finding the Third Proportional to 70,089.75 and 110,157.75

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Solution

The third proportional to 70,089.75 and 110,157.75 is: 173,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,089.75 : 110,157.75 = 110,157.75 : x
  2. Step 2: Convert to fraction form
    70,089.75/110,157.75 = 110,157.75/x
  3. Step 3: Cross multiply
    70,089.75x = 110,157.75 × 110,157.75
  4. Step 4: Simplify right side
    70,089.75x = 12,134,729,885.06
  5. Step 5: Solve for x
    x = 12,134,729,885.06/70,089.75
  6. Step 6: Final answer
    x = 173,131.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.