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Finding the Third Proportional to 37,270.13 and 81,921.38

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Solution

The third proportional to 37,270.13 and 81,921.38 is: 180,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270.13 : 81,921.38 = 81,921.38 : x
  2. Step 2: Convert to fraction form
    37,270.13/81,921.38 = 81,921.38/x
  3. Step 3: Cross multiply
    37,270.13x = 81,921.38 × 81,921.38
  4. Step 4: Simplify right side
    37,270.13x = 6,711,111,681.89
  5. Step 5: Solve for x
    x = 6,711,111,681.89/37,270.13
  6. Step 6: Final answer
    x = 180,066.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.