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Finding the Third Proportional to 88,722 and 192,213

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Solution

The third proportional to 88,722 and 192,213 is: 416,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,722 : 192,213 = 192,213 : x
  2. Step 2: Convert to fraction form
    88,722/192,213 = 192,213/x
  3. Step 3: Cross multiply
    88,722x = 192,213 × 192,213
  4. Step 4: Simplify right side
    88,722x = 36,945,837,369
  5. Step 5: Solve for x
    x = 36,945,837,369/88,722
  6. Step 6: Final answer
    x = 416,422.50

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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.