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Finding the Third Proportional to 125,813.25 and 273,771

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Solution

The third proportional to 125,813.25 and 273,771 is: 595,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,813.25 : 273,771 = 273,771 : x
  2. Step 2: Convert to fraction form
    125,813.25/273,771 = 273,771/x
  3. Step 3: Cross multiply
    125,813.25x = 273,771 × 273,771
  4. Step 4: Simplify right side
    125,813.25x = 74,950,560,441
  5. Step 5: Solve for x
    x = 74,950,560,441/125,813.25
  6. Step 6: Final answer
    x = 595,728.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.