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Finding the Third Proportional to 43,017 and 65,172

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Solution

The third proportional to 43,017 and 65,172 is: 98,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,017 : 65,172 = 65,172 : x
  2. Step 2: Convert to fraction form
    43,017/65,172 = 65,172/x
  3. Step 3: Cross multiply
    43,017x = 65,172 × 65,172
  4. Step 4: Simplify right side
    43,017x = 4,247,389,584
  5. Step 5: Solve for x
    x = 4,247,389,584/43,017
  6. Step 6: Final answer
    x = 98,737.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.