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Finding the Third Proportional to 54,776 and 119,599

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Solution

The third proportional to 54,776 and 119,599 is: 261,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776 : 119,599 = 119,599 : x
  2. Step 2: Convert to fraction form
    54,776/119,599 = 119,599/x
  3. Step 3: Cross multiply
    54,776x = 119,599 × 119,599
  4. Step 4: Simplify right side
    54,776x = 14,303,920,801
  5. Step 5: Solve for x
    x = 14,303,920,801/54,776
  6. Step 6: Final answer
    x = 261,134.82

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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.