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Finding the Third Proportional to 84,062.81 and 182,130.19

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Solution

The third proportional to 84,062.81 and 182,130.19 is: 394,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,062.81 : 182,130.19 = 182,130.19 : x
  2. Step 2: Convert to fraction form
    84,062.81/182,130.19 = 182,130.19/x
  3. Step 3: Cross multiply
    84,062.81x = 182,130.19 × 182,130.19
  4. Step 4: Simplify right side
    84,062.81x = 33,171,405,198.79
  5. Step 5: Solve for x
    x = 33,171,405,198.79/84,062.81
  6. Step 6: Final answer
    x = 394,602.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.