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Finding the Third Proportional to 40,173.75 and 76,701.38

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Solution

The third proportional to 40,173.75 and 76,701.38 is: 146,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,173.75 : 76,701.38 = 76,701.38 : x
  2. Step 2: Convert to fraction form
    40,173.75/76,701.38 = 76,701.38/x
  3. Step 3: Cross multiply
    40,173.75x = 76,701.38 × 76,701.38
  4. Step 4: Simplify right side
    40,173.75x = 5,883,100,926.89
  5. Step 5: Solve for x
    x = 5,883,100,926.89/40,173.75
  6. Step 6: Final answer
    x = 146,441.42

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.