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Finding the Third Proportional to 75,162 and 116,543

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Solution

The third proportional to 75,162 and 116,543 is: 180,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162 : 116,543 = 116,543 : x
  2. Step 2: Convert to fraction form
    75,162/116,543 = 116,543/x
  3. Step 3: Cross multiply
    75,162x = 116,543 × 116,543
  4. Step 4: Simplify right side
    75,162x = 13,582,270,849
  5. Step 5: Solve for x
    x = 13,582,270,849/75,162
  6. Step 6: Final answer
    x = 180,706.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.