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Finding the Third Proportional to 54,000 and 117,684

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Solution

The third proportional to 54,000 and 117,684 is: 256,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000 : 117,684 = 117,684 : x
  2. Step 2: Convert to fraction form
    54,000/117,684 = 117,684/x
  3. Step 3: Cross multiply
    54,000x = 117,684 × 117,684
  4. Step 4: Simplify right side
    54,000x = 13,849,523,856
  5. Step 5: Solve for x
    x = 13,849,523,856/54,000
  6. Step 6: Final answer
    x = 256,472.66

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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.