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Finding the Third Proportional to 53,084 and 116,374

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Solution

The third proportional to 53,084 and 116,374 is: 255,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,084 : 116,374 = 116,374 : x
  2. Step 2: Convert to fraction form
    53,084/116,374 = 116,374/x
  3. Step 3: Cross multiply
    53,084x = 116,374 × 116,374
  4. Step 4: Simplify right side
    53,084x = 13,542,907,876
  5. Step 5: Solve for x
    x = 13,542,907,876/53,084
  6. Step 6: Final answer
    x = 255,122.22

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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.