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Finding the Third Proportional to 80,653 and 118,126

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Solution

The third proportional to 80,653 and 118,126 is: 173,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,653 : 118,126 = 118,126 : x
  2. Step 2: Convert to fraction form
    80,653/118,126 = 118,126/x
  3. Step 3: Cross multiply
    80,653x = 118,126 × 118,126
  4. Step 4: Simplify right side
    80,653x = 13,953,751,876
  5. Step 5: Solve for x
    x = 13,953,751,876/80,653
  6. Step 6: Final answer
    x = 173,009.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.