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Finding the Third Proportional to 65,482 and 102,436

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Solution

The third proportional to 65,482 and 102,436 is: 160,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482 : 102,436 = 102,436 : x
  2. Step 2: Convert to fraction form
    65,482/102,436 = 102,436/x
  3. Step 3: Cross multiply
    65,482x = 102,436 × 102,436
  4. Step 4: Simplify right side
    65,482x = 10,493,134,096
  5. Step 5: Solve for x
    x = 10,493,134,096/65,482
  6. Step 6: Final answer
    x = 160,244.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.