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Finding the Third Proportional to 73,845 and 108,300.38

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Solution

The third proportional to 73,845 and 108,300.38 is: 158,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,845 : 108,300.38 = 108,300.38 : x
  2. Step 2: Convert to fraction form
    73,845/108,300.38 = 108,300.38/x
  3. Step 3: Cross multiply
    73,845x = 108,300.38 × 108,300.38
  4. Step 4: Simplify right side
    73,845x = 11,728,971,225.14
  5. Step 5: Solve for x
    x = 11,728,971,225.14/73,845
  6. Step 6: Final answer
    x = 158,832.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.