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Finding the Third Proportional to 72,018.75 and 109,023.38

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Solution

The third proportional to 72,018.75 and 109,023.38 is: 165,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,018.75 : 109,023.38 = 109,023.38 : x
  2. Step 2: Convert to fraction form
    72,018.75/109,023.38 = 109,023.38/x
  3. Step 3: Cross multiply
    72,018.75x = 109,023.38 × 109,023.38
  4. Step 4: Simplify right side
    72,018.75x = 11,886,096,296.39
  5. Step 5: Solve for x
    x = 11,886,096,296.39/72,018.75
  6. Step 6: Final answer
    x = 165,041.69

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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.