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Finding the Third Proportional to 42,546.38 and 92,553.75

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Solution

The third proportional to 42,546.38 and 92,553.75 is: 201,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,546.38 : 92,553.75 = 92,553.75 : x
  2. Step 2: Convert to fraction form
    42,546.38/92,553.75 = 92,553.75/x
  3. Step 3: Cross multiply
    42,546.38x = 92,553.75 × 92,553.75
  4. Step 4: Simplify right side
    42,546.38x = 8,566,196,639.06
  5. Step 5: Solve for x
    x = 8,566,196,639.06/42,546.38
  6. Step 6: Final answer
    x = 201,337.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.