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Finding the Third Proportional to 52,082 and 80,770

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Solution

The third proportional to 52,082 and 80,770 is: 125,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082 : 80,770 = 80,770 : x
  2. Step 2: Convert to fraction form
    52,082/80,770 = 80,770/x
  3. Step 3: Cross multiply
    52,082x = 80,770 × 80,770
  4. Step 4: Simplify right side
    52,082x = 6,523,792,900
  5. Step 5: Solve for x
    x = 6,523,792,900/52,082
  6. Step 6: Final answer
    x = 125,260.03

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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.