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Finding the Third Proportional to 61,340 and 82,436

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Solution

The third proportional to 61,340 and 82,436 is: 110,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,340 : 82,436 = 82,436 : x
  2. Step 2: Convert to fraction form
    61,340/82,436 = 82,436/x
  3. Step 3: Cross multiply
    61,340x = 82,436 × 82,436
  4. Step 4: Simplify right side
    61,340x = 6,795,694,096
  5. Step 5: Solve for x
    x = 6,795,694,096/61,340
  6. Step 6: Final answer
    x = 110,787.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.