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Finding the Third Proportional to 54,706 and 119,532

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Solution

The third proportional to 54,706 and 119,532 is: 261,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706 : 119,532 = 119,532 : x
  2. Step 2: Convert to fraction form
    54,706/119,532 = 119,532/x
  3. Step 3: Cross multiply
    54,706x = 119,532 × 119,532
  4. Step 4: Simplify right side
    54,706x = 14,287,899,024
  5. Step 5: Solve for x
    x = 14,287,899,024/54,706
  6. Step 6: Final answer
    x = 261,176.09

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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.