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Finding the Third Proportional to 80,994 and 122,607

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Solution

The third proportional to 80,994 and 122,607 is: 185,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,994 : 122,607 = 122,607 : x
  2. Step 2: Convert to fraction form
    80,994/122,607 = 122,607/x
  3. Step 3: Cross multiply
    80,994x = 122,607 × 122,607
  4. Step 4: Simplify right side
    80,994x = 15,032,476,449
  5. Step 5: Solve for x
    x = 15,032,476,449/80,994
  6. Step 6: Final answer
    x = 185,599.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.