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Finding the Third Proportional to 126,532.13 and 273,719.25

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Solution

The third proportional to 126,532.13 and 273,719.25 is: 592,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,532.13 : 273,719.25 = 273,719.25 : x
  2. Step 2: Convert to fraction form
    126,532.13/273,719.25 = 273,719.25/x
  3. Step 3: Cross multiply
    126,532.13x = 273,719.25 × 273,719.25
  4. Step 4: Simplify right side
    126,532.13x = 74,922,227,820.56
  5. Step 5: Solve for x
    x = 74,922,227,820.56/126,532.13
  6. Step 6: Final answer
    x = 592,120.21

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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.