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Finding the Third Proportional to 80,416 and 118,285

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Solution

The third proportional to 80,416 and 118,285 is: 173,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,416 : 118,285 = 118,285 : x
  2. Step 2: Convert to fraction form
    80,416/118,285 = 118,285/x
  3. Step 3: Cross multiply
    80,416x = 118,285 × 118,285
  4. Step 4: Simplify right side
    80,416x = 13,991,341,225
  5. Step 5: Solve for x
    x = 13,991,341,225/80,416
  6. Step 6: Final answer
    x = 173,987.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.