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Finding the Third Proportional to 43,836 and 102,654

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Solution

The third proportional to 43,836 and 102,654 is: 240,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,836 : 102,654 = 102,654 : x
  2. Step 2: Convert to fraction form
    43,836/102,654 = 102,654/x
  3. Step 3: Cross multiply
    43,836x = 102,654 × 102,654
  4. Step 4: Simplify right side
    43,836x = 10,537,843,716
  5. Step 5: Solve for x
    x = 10,537,843,716/43,836
  6. Step 6: Final answer
    x = 240,392.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.