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Finding the Third Proportional to 51,738 and 82,062

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Solution

The third proportional to 51,738 and 82,062 is: 130,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738 : 82,062 = 82,062 : x
  2. Step 2: Convert to fraction form
    51,738/82,062 = 82,062/x
  3. Step 3: Cross multiply
    51,738x = 82,062 × 82,062
  4. Step 4: Simplify right side
    51,738x = 6,734,171,844
  5. Step 5: Solve for x
    x = 6,734,171,844/51,738
  6. Step 6: Final answer
    x = 130,159.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.