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Finding the Third Proportional to 126,604 and 273,272

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Solution

The third proportional to 126,604 and 273,272 is: 589,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,604 : 273,272 = 273,272 : x
  2. Step 2: Convert to fraction form
    126,604/273,272 = 273,272/x
  3. Step 3: Cross multiply
    126,604x = 273,272 × 273,272
  4. Step 4: Simplify right side
    126,604x = 74,677,585,984
  5. Step 5: Solve for x
    x = 74,677,585,984/126,604
  6. Step 6: Final answer
    x = 589,851.71

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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.