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Finding the Third Proportional to 52,179 and 114,204

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Solution

The third proportional to 52,179 and 114,204 is: 249,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,179 : 114,204 = 114,204 : x
  2. Step 2: Convert to fraction form
    52,179/114,204 = 114,204/x
  3. Step 3: Cross multiply
    52,179x = 114,204 × 114,204
  4. Step 4: Simplify right side
    52,179x = 13,042,553,616
  5. Step 5: Solve for x
    x = 13,042,553,616/52,179
  6. Step 6: Final answer
    x = 249,957.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.