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Finding the Third Proportional to 77,274.94 and 164,756.38

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Solution

The third proportional to 77,274.94 and 164,756.38 is: 351,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274.94 : 164,756.38 = 164,756.38 : x
  2. Step 2: Convert to fraction form
    77,274.94/164,756.38 = 164,756.38/x
  3. Step 3: Cross multiply
    77,274.94x = 164,756.38 × 164,756.38
  4. Step 4: Simplify right side
    77,274.94x = 27,144,663,103.14
  5. Step 5: Solve for x
    x = 27,144,663,103.14/77,274.94
  6. Step 6: Final answer
    x = 351,273.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.