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Finding the Third Proportional to 80,520 and 120,588

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Solution

The third proportional to 80,520 and 120,588 is: 180,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,520 : 120,588 = 120,588 : x
  2. Step 2: Convert to fraction form
    80,520/120,588 = 120,588/x
  3. Step 3: Cross multiply
    80,520x = 120,588 × 120,588
  4. Step 4: Simplify right side
    80,520x = 14,541,465,744
  5. Step 5: Solve for x
    x = 14,541,465,744/80,520
  6. Step 6: Final answer
    x = 180,594.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.