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Finding the Third Proportional to 100,433 and 137,717

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Solution

The third proportional to 100,433 and 137,717 is: 188,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433 : 137,717 = 137,717 : x
  2. Step 2: Convert to fraction form
    100,433/137,717 = 137,717/x
  3. Step 3: Cross multiply
    100,433x = 137,717 × 137,717
  4. Step 4: Simplify right side
    100,433x = 18,965,972,089
  5. Step 5: Solve for x
    x = 18,965,972,089/100,433
  6. Step 6: Final answer
    x = 188,842.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.