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Finding the Third Proportional to 80,125.88 and 173,100.38

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Solution

The third proportional to 80,125.88 and 173,100.38 is: 373,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,125.88 : 173,100.38 = 173,100.38 : x
  2. Step 2: Convert to fraction form
    80,125.88/173,100.38 = 173,100.38/x
  3. Step 3: Cross multiply
    80,125.88x = 173,100.38 × 173,100.38
  4. Step 4: Simplify right side
    80,125.88x = 29,963,739,825.14
  5. Step 5: Solve for x
    x = 29,963,739,825.14/80,125.88
  6. Step 6: Final answer
    x = 373,958.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.