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Finding the Third Proportional to 74,119.50 and 162,999.75

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Solution

The third proportional to 74,119.50 and 162,999.75 is: 358,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,119.50 : 162,999.75 = 162,999.75 : x
  2. Step 2: Convert to fraction form
    74,119.50/162,999.75 = 162,999.75/x
  3. Step 3: Cross multiply
    74,119.50x = 162,999.75 × 162,999.75
  4. Step 4: Simplify right side
    74,119.50x = 26,568,918,500.06
  5. Step 5: Solve for x
    x = 26,568,918,500.06/74,119.50
  6. Step 6: Final answer
    x = 358,460.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.