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Finding the Third Proportional to 40,203 and 85,806

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Solution

The third proportional to 40,203 and 85,806 is: 183,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,203 : 85,806 = 85,806 : x
  2. Step 2: Convert to fraction form
    40,203/85,806 = 85,806/x
  3. Step 3: Cross multiply
    40,203x = 85,806 × 85,806
  4. Step 4: Simplify right side
    40,203x = 7,362,669,636
  5. Step 5: Solve for x
    x = 7,362,669,636/40,203
  6. Step 6: Final answer
    x = 183,137.32

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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.