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Finding the Third Proportional to 59,180 and 79,982

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Solution

The third proportional to 59,180 and 79,982 is: 108,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,180 : 79,982 = 79,982 : x
  2. Step 2: Convert to fraction form
    59,180/79,982 = 79,982/x
  3. Step 3: Cross multiply
    59,180x = 79,982 × 79,982
  4. Step 4: Simplify right side
    59,180x = 6,397,120,324
  5. Step 5: Solve for x
    x = 6,397,120,324/59,180
  6. Step 6: Final answer
    x = 108,095.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.