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Finding the Third Proportional to 53,038 and 114,204

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Solution

The third proportional to 53,038 and 114,204 is: 245,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,038 : 114,204 = 114,204 : x
  2. Step 2: Convert to fraction form
    53,038/114,204 = 114,204/x
  3. Step 3: Cross multiply
    53,038x = 114,204 × 114,204
  4. Step 4: Simplify right side
    53,038x = 13,042,553,616
  5. Step 5: Solve for x
    x = 13,042,553,616/53,038
  6. Step 6: Final answer
    x = 245,909.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.