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Finding the Third Proportional to 80,930 and 122,488

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Solution

The third proportional to 80,930 and 122,488 is: 185,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,930 : 122,488 = 122,488 : x
  2. Step 2: Convert to fraction form
    80,930/122,488 = 122,488/x
  3. Step 3: Cross multiply
    80,930x = 122,488 × 122,488
  4. Step 4: Simplify right side
    80,930x = 15,003,310,144
  5. Step 5: Solve for x
    x = 15,003,310,144/80,930
  6. Step 6: Final answer
    x = 185,386.26

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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.