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Finding the Third Proportional to 45,470 and 106,203

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Solution

The third proportional to 45,470 and 106,203 is: 248,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,470 : 106,203 = 106,203 : x
  2. Step 2: Convert to fraction form
    45,470/106,203 = 106,203/x
  3. Step 3: Cross multiply
    45,470x = 106,203 × 106,203
  4. Step 4: Simplify right side
    45,470x = 11,279,077,209
  5. Step 5: Solve for x
    x = 11,279,077,209/45,470
  6. Step 6: Final answer
    x = 248,055.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.