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Finding the Third Proportional to 85,101 and 182,838

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Solution

The third proportional to 85,101 and 182,838 is: 392,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,101 : 182,838 = 182,838 : x
  2. Step 2: Convert to fraction form
    85,101/182,838 = 182,838/x
  3. Step 3: Cross multiply
    85,101x = 182,838 × 182,838
  4. Step 4: Simplify right side
    85,101x = 33,429,734,244
  5. Step 5: Solve for x
    x = 33,429,734,244/85,101
  6. Step 6: Final answer
    x = 392,824.22

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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.