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Finding the Third Proportional to 65,462 and 102,405

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Solution

The third proportional to 65,462 and 102,405 is: 160,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,462 : 102,405 = 102,405 : x
  2. Step 2: Convert to fraction form
    65,462/102,405 = 102,405/x
  3. Step 3: Cross multiply
    65,462x = 102,405 × 102,405
  4. Step 4: Simplify right side
    65,462x = 10,486,784,025
  5. Step 5: Solve for x
    x = 10,486,784,025/65,462
  6. Step 6: Final answer
    x = 160,196.51

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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.