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Finding the Third Proportional to 53,272 and 116,912

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Solution

The third proportional to 53,272 and 116,912 is: 256,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,272 : 116,912 = 116,912 : x
  2. Step 2: Convert to fraction form
    53,272/116,912 = 116,912/x
  3. Step 3: Cross multiply
    53,272x = 116,912 × 116,912
  4. Step 4: Simplify right side
    53,272x = 13,668,415,744
  5. Step 5: Solve for x
    x = 13,668,415,744/53,272
  6. Step 6: Final answer
    x = 256,577.86

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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.