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Finding the Third Proportional to 50,142 and 66,559

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Solution

The third proportional to 50,142 and 66,559 is: 88,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142 : 66,559 = 66,559 : x
  2. Step 2: Convert to fraction form
    50,142/66,559 = 66,559/x
  3. Step 3: Cross multiply
    50,142x = 66,559 × 66,559
  4. Step 4: Simplify right side
    50,142x = 4,430,100,481
  5. Step 5: Solve for x
    x = 4,430,100,481/50,142
  6. Step 6: Final answer
    x = 88,351.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.