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Finding the Third Proportional to 84,192 and 130,041

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Solution

The third proportional to 84,192 and 130,041 is: 200,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,192 : 130,041 = 130,041 : x
  2. Step 2: Convert to fraction form
    84,192/130,041 = 130,041/x
  3. Step 3: Cross multiply
    84,192x = 130,041 × 130,041
  4. Step 4: Simplify right side
    84,192x = 16,910,661,681
  5. Step 5: Solve for x
    x = 16,910,661,681/84,192
  6. Step 6: Final answer
    x = 200,858.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.