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Finding the Third Proportional to 50,153 and 76,217

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Solution

The third proportional to 50,153 and 76,217 is: 115,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,153 : 76,217 = 76,217 : x
  2. Step 2: Convert to fraction form
    50,153/76,217 = 76,217/x
  3. Step 3: Cross multiply
    50,153x = 76,217 × 76,217
  4. Step 4: Simplify right side
    50,153x = 5,809,031,089
  5. Step 5: Solve for x
    x = 5,809,031,089/50,153
  6. Step 6: Final answer
    x = 115,826.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.