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Finding the Third Proportional to 83,601 and 180,838

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Solution

The third proportional to 83,601 and 180,838 is: 391,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601 : 180,838 = 180,838 : x
  2. Step 2: Convert to fraction form
    83,601/180,838 = 180,838/x
  3. Step 3: Cross multiply
    83,601x = 180,838 × 180,838
  4. Step 4: Simplify right side
    83,601x = 32,702,382,244
  5. Step 5: Solve for x
    x = 32,702,382,244/83,601
  6. Step 6: Final answer
    x = 391,172.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.