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Finding the Third Proportional to 126,600 and 273,264

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Solution

The third proportional to 126,600 and 273,264 is: 589,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,600 : 273,264 = 273,264 : x
  2. Step 2: Convert to fraction form
    126,600/273,264 = 273,264/x
  3. Step 3: Cross multiply
    126,600x = 273,264 × 273,264
  4. Step 4: Simplify right side
    126,600x = 74,673,213,696
  5. Step 5: Solve for x
    x = 74,673,213,696/126,600
  6. Step 6: Final answer
    x = 589,835.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.