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Finding the Third Proportional to 39,829 and 86,112

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Solution

The third proportional to 39,829 and 86,112 is: 186,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,829 : 86,112 = 86,112 : x
  2. Step 2: Convert to fraction form
    39,829/86,112 = 86,112/x
  3. Step 3: Cross multiply
    39,829x = 86,112 × 86,112
  4. Step 4: Simplify right side
    39,829x = 7,415,276,544
  5. Step 5: Solve for x
    x = 7,415,276,544/39,829
  6. Step 6: Final answer
    x = 186,177.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.