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Finding the Third Proportional to 125,065.27 and 273,485.11

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Solution

The third proportional to 125,065.27 and 273,485.11 is: 598,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,065.27 : 273,485.11 = 273,485.11 : x
  2. Step 2: Convert to fraction form
    125,065.27/273,485.11 = 273,485.11/x
  3. Step 3: Cross multiply
    125,065.27x = 273,485.11 × 273,485.11
  4. Step 4: Simplify right side
    125,065.27x = 74,794,105,049.86
  5. Step 5: Solve for x
    x = 74,794,105,049.86/125,065.27
  6. Step 6: Final answer
    x = 598,040.59

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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.