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Finding the Third Proportional to 53,572 and 116,372

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Solution

The third proportional to 53,572 and 116,372 is: 252,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,572 : 116,372 = 116,372 : x
  2. Step 2: Convert to fraction form
    53,572/116,372 = 116,372/x
  3. Step 3: Cross multiply
    53,572x = 116,372 × 116,372
  4. Step 4: Simplify right side
    53,572x = 13,542,442,384
  5. Step 5: Solve for x
    x = 13,542,442,384/53,572
  6. Step 6: Final answer
    x = 252,789.56

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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.