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Finding the Third Proportional to 126,404 and 273,080

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Solution

The third proportional to 126,404 and 273,080 is: 589,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,404 : 273,080 = 273,080 : x
  2. Step 2: Convert to fraction form
    126,404/273,080 = 273,080/x
  3. Step 3: Cross multiply
    126,404x = 273,080 × 273,080
  4. Step 4: Simplify right side
    126,404x = 74,572,686,400
  5. Step 5: Solve for x
    x = 74,572,686,400/126,404
  6. Step 6: Final answer
    x = 589,955.12

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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.