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Finding the Third Proportional to 40,203 and 85,747

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Solution

The third proportional to 40,203 and 85,747 is: 182,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,203 : 85,747 = 85,747 : x
  2. Step 2: Convert to fraction form
    40,203/85,747 = 85,747/x
  3. Step 3: Cross multiply
    40,203x = 85,747 × 85,747
  4. Step 4: Simplify right side
    40,203x = 7,352,548,009
  5. Step 5: Solve for x
    x = 7,352,548,009/40,203
  6. Step 6: Final answer
    x = 182,885.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.