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Finding the Third Proportional to 39,561 and 80,590

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Solution

The third proportional to 39,561 and 80,590 is: 164,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,561 : 80,590 = 80,590 : x
  2. Step 2: Convert to fraction form
    39,561/80,590 = 80,590/x
  3. Step 3: Cross multiply
    39,561x = 80,590 × 80,590
  4. Step 4: Simplify right side
    39,561x = 6,494,748,100
  5. Step 5: Solve for x
    x = 6,494,748,100/39,561
  6. Step 6: Final answer
    x = 164,170.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.