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Finding the Third Proportional to 43,766 and 93,760

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Solution

The third proportional to 43,766 and 93,760 is: 200,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,766 : 93,760 = 93,760 : x
  2. Step 2: Convert to fraction form
    43,766/93,760 = 93,760/x
  3. Step 3: Cross multiply
    43,766x = 93,760 × 93,760
  4. Step 4: Simplify right side
    43,766x = 8,790,937,600
  5. Step 5: Solve for x
    x = 8,790,937,600/43,766
  6. Step 6: Final answer
    x = 200,862.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.