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Finding the Third Proportional to 68,808 and 159,284

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Solution

The third proportional to 68,808 and 159,284 is: 368,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,808 : 159,284 = 159,284 : x
  2. Step 2: Convert to fraction form
    68,808/159,284 = 159,284/x
  3. Step 3: Cross multiply
    68,808x = 159,284 × 159,284
  4. Step 4: Simplify right side
    68,808x = 25,371,392,656
  5. Step 5: Solve for x
    x = 25,371,392,656/68,808
  6. Step 6: Final answer
    x = 368,727.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.