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Finding the Third Proportional to 43,737 and 95,880

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Solution

The third proportional to 43,737 and 95,880 is: 210,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,737 : 95,880 = 95,880 : x
  2. Step 2: Convert to fraction form
    43,737/95,880 = 95,880/x
  3. Step 3: Cross multiply
    43,737x = 95,880 × 95,880
  4. Step 4: Simplify right side
    43,737x = 9,192,974,400
  5. Step 5: Solve for x
    x = 9,192,974,400/43,737
  6. Step 6: Final answer
    x = 210,187.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.