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Finding the Third Proportional to 51,528 and 119,296

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Solution

The third proportional to 51,528 and 119,296 is: 276,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 119,296 = 119,296 : x
  2. Step 2: Convert to fraction form
    51,528/119,296 = 119,296/x
  3. Step 3: Cross multiply
    51,528x = 119,296 × 119,296
  4. Step 4: Simplify right side
    51,528x = 14,231,535,616
  5. Step 5: Solve for x
    x = 14,231,535,616/51,528
  6. Step 6: Final answer
    x = 276,190.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.