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Finding the Third Proportional to 106,380 and 225,072

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Solution

The third proportional to 106,380 and 225,072 is: 476,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,380 : 225,072 = 225,072 : x
  2. Step 2: Convert to fraction form
    106,380/225,072 = 225,072/x
  3. Step 3: Cross multiply
    106,380x = 225,072 × 225,072
  4. Step 4: Simplify right side
    106,380x = 50,657,405,184
  5. Step 5: Solve for x
    x = 50,657,405,184/106,380
  6. Step 6: Final answer
    x = 476,192.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.