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Finding the Third Proportional to 73,899 and 111,719.25

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Solution

The third proportional to 73,899 and 111,719.25 is: 168,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,899 : 111,719.25 = 111,719.25 : x
  2. Step 2: Convert to fraction form
    73,899/111,719.25 = 111,719.25/x
  3. Step 3: Cross multiply
    73,899x = 111,719.25 × 111,719.25
  4. Step 4: Simplify right side
    73,899x = 12,481,190,820.56
  5. Step 5: Solve for x
    x = 12,481,190,820.56/73,899
  6. Step 6: Final answer
    x = 168,895.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.