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Finding the Third Proportional to 59,175 and 129,811

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Solution

The third proportional to 59,175 and 129,811 is: 284,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,175 : 129,811 = 129,811 : x
  2. Step 2: Convert to fraction form
    59,175/129,811 = 129,811/x
  3. Step 3: Cross multiply
    59,175x = 129,811 × 129,811
  4. Step 4: Simplify right side
    59,175x = 16,850,895,721
  5. Step 5: Solve for x
    x = 16,850,895,721/59,175
  6. Step 6: Final answer
    x = 284,763.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.