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Finding the Third Proportional to 74,538 and 110,793

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Solution

The third proportional to 74,538 and 110,793 is: 164,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538 : 110,793 = 110,793 : x
  2. Step 2: Convert to fraction form
    74,538/110,793 = 110,793/x
  3. Step 3: Cross multiply
    74,538x = 110,793 × 110,793
  4. Step 4: Simplify right side
    74,538x = 12,275,088,849
  5. Step 5: Solve for x
    x = 12,275,088,849/74,538
  6. Step 6: Final answer
    x = 164,682.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.