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Finding the Third Proportional to 80,646 and 121,050

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Solution

The third proportional to 80,646 and 121,050 is: 181,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646 : 121,050 = 121,050 : x
  2. Step 2: Convert to fraction form
    80,646/121,050 = 121,050/x
  3. Step 3: Cross multiply
    80,646x = 121,050 × 121,050
  4. Step 4: Simplify right side
    80,646x = 14,653,102,500
  5. Step 5: Solve for x
    x = 14,653,102,500/80,646
  6. Step 6: Final answer
    x = 181,696.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.