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Finding the Third Proportional to 73,821.38 and 114,526.41

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Solution

The third proportional to 73,821.38 and 114,526.41 is: 177,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.38 : 114,526.41 = 114,526.41 : x
  2. Step 2: Convert to fraction form
    73,821.38/114,526.41 = 114,526.41/x
  3. Step 3: Cross multiply
    73,821.38x = 114,526.41 × 114,526.41
  4. Step 4: Simplify right side
    73,821.38x = 13,116,297,728.54
  5. Step 5: Solve for x
    x = 13,116,297,728.54/73,821.38
  6. Step 6: Final answer
    x = 177,676.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.