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Finding the Third Proportional to 40,936 and 85,996

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Solution

The third proportional to 40,936 and 85,996 is: 180,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,936 : 85,996 = 85,996 : x
  2. Step 2: Convert to fraction form
    40,936/85,996 = 85,996/x
  3. Step 3: Cross multiply
    40,936x = 85,996 × 85,996
  4. Step 4: Simplify right side
    40,936x = 7,395,312,016
  5. Step 5: Solve for x
    x = 7,395,312,016/40,936
  6. Step 6: Final answer
    x = 180,655.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.