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Finding the Third Proportional to 53,204 and 112,554

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Solution

The third proportional to 53,204 and 112,554 is: 238,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 112,554 = 112,554 : x
  2. Step 2: Convert to fraction form
    53,204/112,554 = 112,554/x
  3. Step 3: Cross multiply
    53,204x = 112,554 × 112,554
  4. Step 4: Simplify right side
    53,204x = 12,668,402,916
  5. Step 5: Solve for x
    x = 12,668,402,916/53,204
  6. Step 6: Final answer
    x = 238,109.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.