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Finding the Third Proportional to 43,039 and 92,875

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Solution

The third proportional to 43,039 and 92,875 is: 200,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,039 : 92,875 = 92,875 : x
  2. Step 2: Convert to fraction form
    43,039/92,875 = 92,875/x
  3. Step 3: Cross multiply
    43,039x = 92,875 × 92,875
  4. Step 4: Simplify right side
    43,039x = 8,625,765,625
  5. Step 5: Solve for x
    x = 8,625,765,625/43,039
  6. Step 6: Final answer
    x = 200,417.43

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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.