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Finding the Third Proportional to 65,536 and 102,520

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Solution

The third proportional to 65,536 and 102,520 is: 160,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,536 : 102,520 = 102,520 : x
  2. Step 2: Convert to fraction form
    65,536/102,520 = 102,520/x
  3. Step 3: Cross multiply
    65,536x = 102,520 × 102,520
  4. Step 4: Simplify right side
    65,536x = 10,510,350,400
  5. Step 5: Solve for x
    x = 10,510,350,400/65,536
  6. Step 6: Final answer
    x = 160,375.22

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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.