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Finding the Third Proportional to 59,480 and 80,742

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Solution

The third proportional to 59,480 and 80,742 is: 109,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,480 : 80,742 = 80,742 : x
  2. Step 2: Convert to fraction form
    59,480/80,742 = 80,742/x
  3. Step 3: Cross multiply
    59,480x = 80,742 × 80,742
  4. Step 4: Simplify right side
    59,480x = 6,519,270,564
  5. Step 5: Solve for x
    x = 6,519,270,564/59,480
  6. Step 6: Final answer
    x = 109,604.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.