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Finding the Third Proportional to 43,732 and 102,670

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Solution

The third proportional to 43,732 and 102,670 is: 241,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,732 : 102,670 = 102,670 : x
  2. Step 2: Convert to fraction form
    43,732/102,670 = 102,670/x
  3. Step 3: Cross multiply
    43,732x = 102,670 × 102,670
  4. Step 4: Simplify right side
    43,732x = 10,541,128,900
  5. Step 5: Solve for x
    x = 10,541,128,900/43,732
  6. Step 6: Final answer
    x = 241,039.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.