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Finding the Third Proportional to 53,697 and 116,244

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Solution

The third proportional to 53,697 and 116,244 is: 251,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,697 : 116,244 = 116,244 : x
  2. Step 2: Convert to fraction form
    53,697/116,244 = 116,244/x
  3. Step 3: Cross multiply
    53,697x = 116,244 × 116,244
  4. Step 4: Simplify right side
    53,697x = 13,512,667,536
  5. Step 5: Solve for x
    x = 13,512,667,536/53,697
  6. Step 6: Final answer
    x = 251,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.