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Finding the Third Proportional to 132,648.50 and 273,073

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Solution

The third proportional to 132,648.50 and 273,073 is: 562,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648.50 : 273,073 = 273,073 : x
  2. Step 2: Convert to fraction form
    132,648.50/273,073 = 273,073/x
  3. Step 3: Cross multiply
    132,648.50x = 273,073 × 273,073
  4. Step 4: Simplify right side
    132,648.50x = 74,568,863,329
  5. Step 5: Solve for x
    x = 74,568,863,329/132,648.50
  6. Step 6: Final answer
    x = 562,153.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.