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Finding the Third Proportional to 74,049.50 and 111,728.50

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Solution

The third proportional to 74,049.50 and 111,728.50 is: 168,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049.50 : 111,728.50 = 111,728.50 : x
  2. Step 2: Convert to fraction form
    74,049.50/111,728.50 = 111,728.50/x
  3. Step 3: Cross multiply
    74,049.50x = 111,728.50 × 111,728.50
  4. Step 4: Simplify right side
    74,049.50x = 12,483,257,712.25
  5. Step 5: Solve for x
    x = 12,483,257,712.25/74,049.50
  6. Step 6: Final answer
    x = 168,579.91

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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.