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Finding the Third Proportional to 53,257 and 116,698

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Solution

The third proportional to 53,257 and 116,698 is: 255,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257 : 116,698 = 116,698 : x
  2. Step 2: Convert to fraction form
    53,257/116,698 = 116,698/x
  3. Step 3: Cross multiply
    53,257x = 116,698 × 116,698
  4. Step 4: Simplify right side
    53,257x = 13,618,423,204
  5. Step 5: Solve for x
    x = 13,618,423,204/53,257
  6. Step 6: Final answer
    x = 255,711.42

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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.