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Finding the Third Proportional to 117,531 and 253,761

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Solution

The third proportional to 117,531 and 253,761 is: 547,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531 : 253,761 = 253,761 : x
  2. Step 2: Convert to fraction form
    117,531/253,761 = 253,761/x
  3. Step 3: Cross multiply
    117,531x = 253,761 × 253,761
  4. Step 4: Simplify right side
    117,531x = 64,394,645,121
  5. Step 5: Solve for x
    x = 64,394,645,121/117,531
  6. Step 6: Final answer
    x = 547,894.98

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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.