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Finding the Third Proportional to 51,366 and 72,122

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Solution

The third proportional to 51,366 and 72,122 is: 101,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,366 : 72,122 = 72,122 : x
  2. Step 2: Convert to fraction form
    51,366/72,122 = 72,122/x
  3. Step 3: Cross multiply
    51,366x = 72,122 × 72,122
  4. Step 4: Simplify right side
    51,366x = 5,201,582,884
  5. Step 5: Solve for x
    x = 5,201,582,884/51,366
  6. Step 6: Final answer
    x = 101,265.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.