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Finding the Third Proportional to 43,714 and 90,538

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Solution

The third proportional to 43,714 and 90,538 is: 187,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714 : 90,538 = 90,538 : x
  2. Step 2: Convert to fraction form
    43,714/90,538 = 90,538/x
  3. Step 3: Cross multiply
    43,714x = 90,538 × 90,538
  4. Step 4: Simplify right side
    43,714x = 8,197,129,444
  5. Step 5: Solve for x
    x = 8,197,129,444/43,714
  6. Step 6: Final answer
    x = 187,517.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.