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Finding the Third Proportional to 81,922 and 122,319

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Solution

The third proportional to 81,922 and 122,319 is: 182,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,922 : 122,319 = 122,319 : x
  2. Step 2: Convert to fraction form
    81,922/122,319 = 122,319/x
  3. Step 3: Cross multiply
    81,922x = 122,319 × 122,319
  4. Step 4: Simplify right side
    81,922x = 14,961,937,761
  5. Step 5: Solve for x
    x = 14,961,937,761/81,922
  6. Step 6: Final answer
    x = 182,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.