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Finding the Third Proportional to 107,353.69 and 161,036.44

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Solution

The third proportional to 107,353.69 and 161,036.44 is: 241,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,353.69 : 161,036.44 = 161,036.44 : x
  2. Step 2: Convert to fraction form
    107,353.69/161,036.44 = 161,036.44/x
  3. Step 3: Cross multiply
    107,353.69x = 161,036.44 × 161,036.44
  4. Step 4: Simplify right side
    107,353.69x = 25,932,734,202.69
  5. Step 5: Solve for x
    x = 25,932,734,202.69/107,353.69
  6. Step 6: Final answer
    x = 241,563.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.