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Finding the Third Proportional to 53,568 and 116,352

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Solution

The third proportional to 53,568 and 116,352 is: 252,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,568 : 116,352 = 116,352 : x
  2. Step 2: Convert to fraction form
    53,568/116,352 = 116,352/x
  3. Step 3: Cross multiply
    53,568x = 116,352 × 116,352
  4. Step 4: Simplify right side
    53,568x = 13,537,787,904
  5. Step 5: Solve for x
    x = 13,537,787,904/53,568
  6. Step 6: Final answer
    x = 252,721.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.