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Finding the Third Proportional to 40,191.75 and 87,445.75

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Solution

The third proportional to 40,191.75 and 87,445.75 is: 190,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,191.75 : 87,445.75 = 87,445.75 : x
  2. Step 2: Convert to fraction form
    40,191.75/87,445.75 = 87,445.75/x
  3. Step 3: Cross multiply
    40,191.75x = 87,445.75 × 87,445.75
  4. Step 4: Simplify right side
    40,191.75x = 7,646,759,193.06
  5. Step 5: Solve for x
    x = 7,646,759,193.06/40,191.75
  6. Step 6: Final answer
    x = 190,256.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.