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Finding the Third Proportional to 59,163 and 129,018

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Solution

The third proportional to 59,163 and 129,018 is: 281,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,163 : 129,018 = 129,018 : x
  2. Step 2: Convert to fraction form
    59,163/129,018 = 129,018/x
  3. Step 3: Cross multiply
    59,163x = 129,018 × 129,018
  4. Step 4: Simplify right side
    59,163x = 16,645,644,324
  5. Step 5: Solve for x
    x = 16,645,644,324/59,163
  6. Step 6: Final answer
    x = 281,352.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.