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Finding the Third Proportional to 73,719 and 111,189.38

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Solution

The third proportional to 73,719 and 111,189.38 is: 167,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,719 : 111,189.38 = 111,189.38 : x
  2. Step 2: Convert to fraction form
    73,719/111,189.38 = 111,189.38/x
  3. Step 3: Cross multiply
    73,719x = 111,189.38 × 111,189.38
  4. Step 4: Simplify right side
    73,719x = 12,363,077,112.89
  5. Step 5: Solve for x
    x = 12,363,077,112.89/73,719
  6. Step 6: Final answer
    x = 167,705.44

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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.