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Finding the Third Proportional to 59,197 and 130,057

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Solution

The third proportional to 59,197 and 130,057 is: 285,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,197 : 130,057 = 130,057 : x
  2. Step 2: Convert to fraction form
    59,197/130,057 = 130,057/x
  3. Step 3: Cross multiply
    59,197x = 130,057 × 130,057
  4. Step 4: Simplify right side
    59,197x = 16,914,823,249
  5. Step 5: Solve for x
    x = 16,914,823,249/59,197
  6. Step 6: Final answer
    x = 285,737.85

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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.