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Finding the Third Proportional to 37,153.69 and 81,308.81

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Solution

The third proportional to 37,153.69 and 81,308.81 is: 177,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,153.69 : 81,308.81 = 81,308.81 : x
  2. Step 2: Convert to fraction form
    37,153.69/81,308.81 = 81,308.81/x
  3. Step 3: Cross multiply
    37,153.69x = 81,308.81 × 81,308.81
  4. Step 4: Simplify right side
    37,153.69x = 6,611,122,990.16
  5. Step 5: Solve for x
    x = 6,611,122,990.16/37,153.69
  6. Step 6: Final answer
    x = 177,939.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.