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Finding the Third Proportional to 80,007 and 120,633

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Solution

The third proportional to 80,007 and 120,633 is: 181,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,007 : 120,633 = 120,633 : x
  2. Step 2: Convert to fraction form
    80,007/120,633 = 120,633/x
  3. Step 3: Cross multiply
    80,007x = 120,633 × 120,633
  4. Step 4: Simplify right side
    80,007x = 14,552,320,689
  5. Step 5: Solve for x
    x = 14,552,320,689/80,007
  6. Step 6: Final answer
    x = 181,888.09

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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.