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Finding the Third Proportional to 88,651 and 192,071

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Solution

The third proportional to 88,651 and 192,071 is: 416,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,651 : 192,071 = 192,071 : x
  2. Step 2: Convert to fraction form
    88,651/192,071 = 192,071/x
  3. Step 3: Cross multiply
    88,651x = 192,071 × 192,071
  4. Step 4: Simplify right side
    88,651x = 36,891,269,041
  5. Step 5: Solve for x
    x = 36,891,269,041/88,651
  6. Step 6: Final answer
    x = 416,140.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.