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Finding the Third Proportional to 47,764 and 102,576

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Solution

The third proportional to 47,764 and 102,576 is: 220,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 102,576 = 102,576 : x
  2. Step 2: Convert to fraction form
    47,764/102,576 = 102,576/x
  3. Step 3: Cross multiply
    47,764x = 102,576 × 102,576
  4. Step 4: Simplify right side
    47,764x = 10,521,835,776
  5. Step 5: Solve for x
    x = 10,521,835,776/47,764
  6. Step 6: Final answer
    x = 220,287.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.