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Finding the Third Proportional to 58,576 and 127,756

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Solution

The third proportional to 58,576 and 127,756 is: 278,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,576 : 127,756 = 127,756 : x
  2. Step 2: Convert to fraction form
    58,576/127,756 = 127,756/x
  3. Step 3: Cross multiply
    58,576x = 127,756 × 127,756
  4. Step 4: Simplify right side
    58,576x = 16,321,595,536
  5. Step 5: Solve for x
    x = 16,321,595,536/58,576
  6. Step 6: Final answer
    x = 278,639.64

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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.