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Finding the Third Proportional to 80,376 and 118,218

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Solution

The third proportional to 80,376 and 118,218 is: 173,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,376 : 118,218 = 118,218 : x
  2. Step 2: Convert to fraction form
    80,376/118,218 = 118,218/x
  3. Step 3: Cross multiply
    80,376x = 118,218 × 118,218
  4. Step 4: Simplify right side
    80,376x = 13,975,495,524
  5. Step 5: Solve for x
    x = 13,975,495,524/80,376
  6. Step 6: Final answer
    x = 173,876.47

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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.