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Finding the Third Proportional to 84,760 and 182,472

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Solution

The third proportional to 84,760 and 182,472 is: 392,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,760 : 182,472 = 182,472 : x
  2. Step 2: Convert to fraction form
    84,760/182,472 = 182,472/x
  3. Step 3: Cross multiply
    84,760x = 182,472 × 182,472
  4. Step 4: Simplify right side
    84,760x = 33,296,030,784
  5. Step 5: Solve for x
    x = 33,296,030,784/84,760
  6. Step 6: Final answer
    x = 392,827.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.