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Finding the Third Proportional to 53,446 and 117,422

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Solution

The third proportional to 53,446 and 117,422 is: 257,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,446 : 117,422 = 117,422 : x
  2. Step 2: Convert to fraction form
    53,446/117,422 = 117,422/x
  3. Step 3: Cross multiply
    53,446x = 117,422 × 117,422
  4. Step 4: Simplify right side
    53,446x = 13,787,926,084
  5. Step 5: Solve for x
    x = 13,787,926,084/53,446
  6. Step 6: Final answer
    x = 257,978.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.