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Finding the Third Proportional to 75,021 and 177,091.50

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Solution

The third proportional to 75,021 and 177,091.50 is: 418,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,021 : 177,091.50 = 177,091.50 : x
  2. Step 2: Convert to fraction form
    75,021/177,091.50 = 177,091.50/x
  3. Step 3: Cross multiply
    75,021x = 177,091.50 × 177,091.50
  4. Step 4: Simplify right side
    75,021x = 31,361,399,372.25
  5. Step 5: Solve for x
    x = 31,361,399,372.25/75,021
  6. Step 6: Final answer
    x = 418,034.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.