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Finding the Third Proportional to 113,839.50 and 175,893

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Solution

The third proportional to 113,839.50 and 175,893 is: 271,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,839.50 : 175,893 = 175,893 : x
  2. Step 2: Convert to fraction form
    113,839.50/175,893 = 175,893/x
  3. Step 3: Cross multiply
    113,839.50x = 175,893 × 175,893
  4. Step 4: Simplify right side
    113,839.50x = 30,938,347,449
  5. Step 5: Solve for x
    x = 30,938,347,449/113,839.50
  6. Step 6: Final answer
    x = 271,771.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.