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Finding the Third Proportional to 59,006 and 129,676

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Solution

The third proportional to 59,006 and 129,676 is: 284,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,006 : 129,676 = 129,676 : x
  2. Step 2: Convert to fraction form
    59,006/129,676 = 129,676/x
  3. Step 3: Cross multiply
    59,006x = 129,676 × 129,676
  4. Step 4: Simplify right side
    59,006x = 16,815,864,976
  5. Step 5: Solve for x
    x = 16,815,864,976/59,006
  6. Step 6: Final answer
    x = 284,985.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.