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Finding the Third Proportional to 74,023.75 and 162,809.75

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Solution

The third proportional to 74,023.75 and 162,809.75 is: 358,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,023.75 : 162,809.75 = 162,809.75 : x
  2. Step 2: Convert to fraction form
    74,023.75/162,809.75 = 162,809.75/x
  3. Step 3: Cross multiply
    74,023.75x = 162,809.75 × 162,809.75
  4. Step 4: Simplify right side
    74,023.75x = 26,507,014,695.06
  5. Step 5: Solve for x
    x = 26,507,014,695.06/74,023.75
  6. Step 6: Final answer
    x = 358,087.97

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