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Finding the Third Proportional to 39,763 and 85,753

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Solution

The third proportional to 39,763 and 85,753 is: 184,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,763 : 85,753 = 85,753 : x
  2. Step 2: Convert to fraction form
    39,763/85,753 = 85,753/x
  3. Step 3: Cross multiply
    39,763x = 85,753 × 85,753
  4. Step 4: Simplify right side
    39,763x = 7,353,577,009
  5. Step 5: Solve for x
    x = 7,353,577,009/39,763
  6. Step 6: Final answer
    x = 184,935.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.