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Finding the Third Proportional to 80,488 and 122,070

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Solution

The third proportional to 80,488 and 122,070 is: 185,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488 : 122,070 = 122,070 : x
  2. Step 2: Convert to fraction form
    80,488/122,070 = 122,070/x
  3. Step 3: Cross multiply
    80,488x = 122,070 × 122,070
  4. Step 4: Simplify right side
    80,488x = 14,901,084,900
  5. Step 5: Solve for x
    x = 14,901,084,900/80,488
  6. Step 6: Final answer
    x = 185,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.