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Finding the Third Proportional to 34,281 and 76,439.25

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Solution

The third proportional to 34,281 and 76,439.25 is: 170,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,281 : 76,439.25 = 76,439.25 : x
  2. Step 2: Convert to fraction form
    34,281/76,439.25 = 76,439.25/x
  3. Step 3: Cross multiply
    34,281x = 76,439.25 × 76,439.25
  4. Step 4: Simplify right side
    34,281x = 5,842,958,940.56
  5. Step 5: Solve for x
    x = 5,842,958,940.56/34,281
  6. Step 6: Final answer
    x = 170,443.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.