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Finding the Third Proportional to 59,576 and 87,977

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Solution

The third proportional to 59,576 and 87,977 is: 129,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,576 : 87,977 = 87,977 : x
  2. Step 2: Convert to fraction form
    59,576/87,977 = 87,977/x
  3. Step 3: Cross multiply
    59,576x = 87,977 × 87,977
  4. Step 4: Simplify right side
    59,576x = 7,739,952,529
  5. Step 5: Solve for x
    x = 7,739,952,529/59,576
  6. Step 6: Final answer
    x = 129,917.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.