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Finding the Third Proportional to 105,291 and 225,054

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Solution

The third proportional to 105,291 and 225,054 is: 481,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,291 : 225,054 = 225,054 : x
  2. Step 2: Convert to fraction form
    105,291/225,054 = 225,054/x
  3. Step 3: Cross multiply
    105,291x = 225,054 × 225,054
  4. Step 4: Simplify right side
    105,291x = 50,649,302,916
  5. Step 5: Solve for x
    x = 50,649,302,916/105,291
  6. Step 6: Final answer
    x = 481,041.14

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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.