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Finding the Third Proportional to 75,005.44 and 105,504.56

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Solution

The third proportional to 75,005.44 and 105,504.56 is: 148,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005.44 : 105,504.56 = 105,504.56 : x
  2. Step 2: Convert to fraction form
    75,005.44/105,504.56 = 105,504.56/x
  3. Step 3: Cross multiply
    75,005.44x = 105,504.56 × 105,504.56
  4. Step 4: Simplify right side
    75,005.44x = 11,131,212,708.32
  5. Step 5: Solve for x
    x = 11,131,212,708.32/75,005.44
  6. Step 6: Final answer
    x = 148,405.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.