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Finding the Third Proportional to 50,445 and 78,059

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Solution

The third proportional to 50,445 and 78,059 is: 120,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,445 : 78,059 = 78,059 : x
  2. Step 2: Convert to fraction form
    50,445/78,059 = 78,059/x
  3. Step 3: Cross multiply
    50,445x = 78,059 × 78,059
  4. Step 4: Simplify right side
    50,445x = 6,093,207,481
  5. Step 5: Solve for x
    x = 6,093,207,481/50,445
  6. Step 6: Final answer
    x = 120,789.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.