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Finding the Third Proportional to 53,460 and 116,027

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Solution

The third proportional to 53,460 and 116,027 is: 251,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,460 : 116,027 = 116,027 : x
  2. Step 2: Convert to fraction form
    53,460/116,027 = 116,027/x
  3. Step 3: Cross multiply
    53,460x = 116,027 × 116,027
  4. Step 4: Simplify right side
    53,460x = 13,462,264,729
  5. Step 5: Solve for x
    x = 13,462,264,729/53,460
  6. Step 6: Final answer
    x = 251,819.39

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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.