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Finding the Third Proportional to 72,296.30 and 108,028.69

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Solution

The third proportional to 72,296.30 and 108,028.69 is: 161,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,296.30 : 108,028.69 = 108,028.69 : x
  2. Step 2: Convert to fraction form
    72,296.30/108,028.69 = 108,028.69/x
  3. Step 3: Cross multiply
    72,296.30x = 108,028.69 × 108,028.69
  4. Step 4: Simplify right side
    72,296.30x = 11,670,197,322.97
  5. Step 5: Solve for x
    x = 11,670,197,322.97/72,296.30
  6. Step 6: Final answer
    x = 161,421.79

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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.