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Finding the Third Proportional to 92,493 and 138,753

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Solution

The third proportional to 92,493 and 138,753 is: 208,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,493 : 138,753 = 138,753 : x
  2. Step 2: Convert to fraction form
    92,493/138,753 = 138,753/x
  3. Step 3: Cross multiply
    92,493x = 138,753 × 138,753
  4. Step 4: Simplify right side
    92,493x = 19,252,395,009
  5. Step 5: Solve for x
    x = 19,252,395,009/92,493
  6. Step 6: Final answer
    x = 208,149.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.