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Finding the Third Proportional to 80,017.88 and 172,441.41

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Solution

The third proportional to 80,017.88 and 172,441.41 is: 371,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,017.88 : 172,441.41 = 172,441.41 : x
  2. Step 2: Convert to fraction form
    80,017.88/172,441.41 = 172,441.41/x
  3. Step 3: Cross multiply
    80,017.88x = 172,441.41 × 172,441.41
  4. Step 4: Simplify right side
    80,017.88x = 29,736,038,589.48
  5. Step 5: Solve for x
    x = 29,736,038,589.48/80,017.88
  6. Step 6: Final answer
    x = 371,617.45

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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.