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Finding the Third Proportional to 52,450 and 83,093

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Solution

The third proportional to 52,450 and 83,093 is: 131,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,450 : 83,093 = 83,093 : x
  2. Step 2: Convert to fraction form
    52,450/83,093 = 83,093/x
  3. Step 3: Cross multiply
    52,450x = 83,093 × 83,093
  4. Step 4: Simplify right side
    52,450x = 6,904,446,649
  5. Step 5: Solve for x
    x = 6,904,446,649/52,450
  6. Step 6: Final answer
    x = 131,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.