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Finding the Third Proportional to 84,667 and 116,102

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Solution

The third proportional to 84,667 and 116,102 is: 159,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,667 : 116,102 = 116,102 : x
  2. Step 2: Convert to fraction form
    84,667/116,102 = 116,102/x
  3. Step 3: Cross multiply
    84,667x = 116,102 × 116,102
  4. Step 4: Simplify right side
    84,667x = 13,479,674,404
  5. Step 5: Solve for x
    x = 13,479,674,404/84,667
  6. Step 6: Final answer
    x = 159,208.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.