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Finding the Third Proportional to 116,352.56 and 177,911.44

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Solution

The third proportional to 116,352.56 and 177,911.44 is: 272,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,352.56 : 177,911.44 = 177,911.44 : x
  2. Step 2: Convert to fraction form
    116,352.56/177,911.44 = 177,911.44/x
  3. Step 3: Cross multiply
    116,352.56x = 177,911.44 × 177,911.44
  4. Step 4: Simplify right side
    116,352.56x = 31,652,479,593.32
  5. Step 5: Solve for x
    x = 31,652,479,593.32/116,352.56
  6. Step 6: Final answer
    x = 272,039.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.