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Finding the Third Proportional to 43,154 and 93,244

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Solution

The third proportional to 43,154 and 93,244 is: 201,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,154 : 93,244 = 93,244 : x
  2. Step 2: Convert to fraction form
    43,154/93,244 = 93,244/x
  3. Step 3: Cross multiply
    43,154x = 93,244 × 93,244
  4. Step 4: Simplify right side
    43,154x = 8,694,443,536
  5. Step 5: Solve for x
    x = 8,694,443,536/43,154
  6. Step 6: Final answer
    x = 201,474.80

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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.