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Finding the Third Proportional to 126,057.20 and 273,116.81

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Solution

The third proportional to 126,057.20 and 273,116.81 is: 591,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,057.20 : 273,116.81 = 273,116.81 : x
  2. Step 2: Convert to fraction form
    126,057.20/273,116.81 = 273,116.81/x
  3. Step 3: Cross multiply
    126,057.20x = 273,116.81 × 273,116.81
  4. Step 4: Simplify right side
    126,057.20x = 74,592,793,270.16
  5. Step 5: Solve for x
    x = 74,592,793,270.16/126,057.20
  6. Step 6: Final answer
    x = 591,737.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.