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Finding the Third Proportional to 51,111 and 119,384

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Solution

The third proportional to 51,111 and 119,384 is: 278,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 119,384 = 119,384 : x
  2. Step 2: Convert to fraction form
    51,111/119,384 = 119,384/x
  3. Step 3: Cross multiply
    51,111x = 119,384 × 119,384
  4. Step 4: Simplify right side
    51,111x = 14,252,539,456
  5. Step 5: Solve for x
    x = 14,252,539,456/51,111
  6. Step 6: Final answer
    x = 278,854.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.