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Finding the Third Proportional to 53,353.50 and 116,103

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Solution

The third proportional to 53,353.50 and 116,103 is: 252,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,353.50 : 116,103 = 116,103 : x
  2. Step 2: Convert to fraction form
    53,353.50/116,103 = 116,103/x
  3. Step 3: Cross multiply
    53,353.50x = 116,103 × 116,103
  4. Step 4: Simplify right side
    53,353.50x = 13,479,906,609
  5. Step 5: Solve for x
    x = 13,479,906,609/53,353.50
  6. Step 6: Final answer
    x = 252,652.71

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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.