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Finding the Third Proportional to 75,091.50 and 174,606.75

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Solution

The third proportional to 75,091.50 and 174,606.75 is: 406,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,091.50 : 174,606.75 = 174,606.75 : x
  2. Step 2: Convert to fraction form
    75,091.50/174,606.75 = 174,606.75/x
  3. Step 3: Cross multiply
    75,091.50x = 174,606.75 × 174,606.75
  4. Step 4: Simplify right side
    75,091.50x = 30,487,517,145.56
  5. Step 5: Solve for x
    x = 30,487,517,145.56/75,091.50
  6. Step 6: Final answer
    x = 406,004.90

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.