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Finding the Third Proportional to 52,299 and 83,112

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Solution

The third proportional to 52,299 and 83,112 is: 132,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 83,112 = 83,112 : x
  2. Step 2: Convert to fraction form
    52,299/83,112 = 83,112/x
  3. Step 3: Cross multiply
    52,299x = 83,112 × 83,112
  4. Step 4: Simplify right side
    52,299x = 6,907,604,544
  5. Step 5: Solve for x
    x = 6,907,604,544/52,299
  6. Step 6: Final answer
    x = 132,079.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.