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Finding the Third Proportional to 124,826.20 and 273,005.91

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Solution

The third proportional to 124,826.20 and 273,005.91 is: 597,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,826.20 : 273,005.91 = 273,005.91 : x
  2. Step 2: Convert to fraction form
    124,826.20/273,005.91 = 273,005.91/x
  3. Step 3: Cross multiply
    124,826.20x = 273,005.91 × 273,005.91
  4. Step 4: Simplify right side
    124,826.20x = 74,532,224,847.38
  5. Step 5: Solve for x
    x = 74,532,224,847.38/124,826.20
  6. Step 6: Final answer
    x = 597,087.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.