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Finding the Third Proportional to 117,533 and 254,749

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Solution

The third proportional to 117,533 and 254,749 is: 552,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,533 : 254,749 = 254,749 : x
  2. Step 2: Convert to fraction form
    117,533/254,749 = 254,749/x
  3. Step 3: Cross multiply
    117,533x = 254,749 × 254,749
  4. Step 4: Simplify right side
    117,533x = 64,897,053,001
  5. Step 5: Solve for x
    x = 64,897,053,001/117,533
  6. Step 6: Final answer
    x = 552,160.27

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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.