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Finding the Third Proportional to 72,296.25 and 108,018.75

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Solution

The third proportional to 72,296.25 and 108,018.75 is: 161,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,296.25 : 108,018.75 = 108,018.75 : x
  2. Step 2: Convert to fraction form
    72,296.25/108,018.75 = 108,018.75/x
  3. Step 3: Cross multiply
    72,296.25x = 108,018.75 × 108,018.75
  4. Step 4: Simplify right side
    72,296.25x = 11,668,050,351.56
  5. Step 5: Solve for x
    x = 11,668,050,351.56/72,296.25
  6. Step 6: Final answer
    x = 161,392.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.