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Finding the Third Proportional to 53,872 and 117,536

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Solution

The third proportional to 53,872 and 117,536 is: 256,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872 : 117,536 = 117,536 : x
  2. Step 2: Convert to fraction form
    53,872/117,536 = 117,536/x
  3. Step 3: Cross multiply
    53,872x = 117,536 × 117,536
  4. Step 4: Simplify right side
    53,872x = 13,814,711,296
  5. Step 5: Solve for x
    x = 13,814,711,296/53,872
  6. Step 6: Final answer
    x = 256,435.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.