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Finding the Third Proportional to 74,449.13 and 111,480.05

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Solution

The third proportional to 74,449.13 and 111,480.05 is: 166,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,449.13 : 111,480.05 = 111,480.05 : x
  2. Step 2: Convert to fraction form
    74,449.13/111,480.05 = 111,480.05/x
  3. Step 3: Cross multiply
    74,449.13x = 111,480.05 × 111,480.05
  4. Step 4: Simplify right side
    74,449.13x = 12,427,800,851.25
  5. Step 5: Solve for x
    x = 12,427,800,851.25/74,449.13
  6. Step 6: Final answer
    x = 166,930.11

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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.