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Finding the Third Proportional to 84,042 and 182,988

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Solution

The third proportional to 84,042 and 182,988 is: 398,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042 : 182,988 = 182,988 : x
  2. Step 2: Convert to fraction form
    84,042/182,988 = 182,988/x
  3. Step 3: Cross multiply
    84,042x = 182,988 × 182,988
  4. Step 4: Simplify right side
    84,042x = 33,484,608,144
  5. Step 5: Solve for x
    x = 33,484,608,144/84,042
  6. Step 6: Final answer
    x = 398,427.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.