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Finding the Third Proportional to 73,790 and 110,758

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Solution

The third proportional to 73,790 and 110,758 is: 166,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,790 : 110,758 = 110,758 : x
  2. Step 2: Convert to fraction form
    73,790/110,758 = 110,758/x
  3. Step 3: Cross multiply
    73,790x = 110,758 × 110,758
  4. Step 4: Simplify right side
    73,790x = 12,267,334,564
  5. Step 5: Solve for x
    x = 12,267,334,564/73,790
  6. Step 6: Final answer
    x = 166,246.57

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Why These Related Problems?

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