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Finding the Third Proportional to 81,382 and 168,904

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Solution

The third proportional to 81,382 and 168,904 is: 350,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,382 : 168,904 = 168,904 : x
  2. Step 2: Convert to fraction form
    81,382/168,904 = 168,904/x
  3. Step 3: Cross multiply
    81,382x = 168,904 × 168,904
  4. Step 4: Simplify right side
    81,382x = 28,528,561,216
  5. Step 5: Solve for x
    x = 28,528,561,216/81,382
  6. Step 6: Final answer
    x = 350,551.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.