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Finding the Third Proportional to 115,740.75 and 165,191.75

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Solution

The third proportional to 115,740.75 and 165,191.75 is: 235,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,740.75 : 165,191.75 = 165,191.75 : x
  2. Step 2: Convert to fraction form
    115,740.75/165,191.75 = 165,191.75/x
  3. Step 3: Cross multiply
    115,740.75x = 165,191.75 × 165,191.75
  4. Step 4: Simplify right side
    115,740.75x = 27,288,314,268.06
  5. Step 5: Solve for x
    x = 27,288,314,268.06/115,740.75
  6. Step 6: Final answer
    x = 235,771.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.