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Finding the Third Proportional to 105,293 and 225,058

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Solution

The third proportional to 105,293 and 225,058 is: 481,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,293 : 225,058 = 225,058 : x
  2. Step 2: Convert to fraction form
    105,293/225,058 = 225,058/x
  3. Step 3: Cross multiply
    105,293x = 225,058 × 225,058
  4. Step 4: Simplify right side
    105,293x = 50,651,103,364
  5. Step 5: Solve for x
    x = 50,651,103,364/105,293
  6. Step 6: Final answer
    x = 481,049.10

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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.