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Finding the Third Proportional to 73,946 and 110,883

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Solution

The third proportional to 73,946 and 110,883 is: 166,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,946 : 110,883 = 110,883 : x
  2. Step 2: Convert to fraction form
    73,946/110,883 = 110,883/x
  3. Step 3: Cross multiply
    73,946x = 110,883 × 110,883
  4. Step 4: Simplify right side
    73,946x = 12,295,039,689
  5. Step 5: Solve for x
    x = 12,295,039,689/73,946
  6. Step 6: Final answer
    x = 166,270.52

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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.