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Finding the Third Proportional to 80,518 and 118,315

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Solution

The third proportional to 80,518 and 118,315 is: 173,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,518 : 118,315 = 118,315 : x
  2. Step 2: Convert to fraction form
    80,518/118,315 = 118,315/x
  3. Step 3: Cross multiply
    80,518x = 118,315 × 118,315
  4. Step 4: Simplify right side
    80,518x = 13,998,439,225
  5. Step 5: Solve for x
    x = 13,998,439,225/80,518
  6. Step 6: Final answer
    x = 173,854.78

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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.