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Finding the Third Proportional to 37,406.81 and 81,172.13

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Solution

The third proportional to 37,406.81 and 81,172.13 is: 176,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,406.81 : 81,172.13 = 81,172.13 : x
  2. Step 2: Convert to fraction form
    37,406.81/81,172.13 = 81,172.13/x
  3. Step 3: Cross multiply
    37,406.81x = 81,172.13 × 81,172.13
  4. Step 4: Simplify right side
    37,406.81x = 6,588,913,877.02
  5. Step 5: Solve for x
    x = 6,588,913,877.02/37,406.81
  6. Step 6: Final answer
    x = 176,142.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.