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Finding the Third Proportional to 49,666.50 and 74,955.38

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Solution

The third proportional to 49,666.50 and 74,955.38 is: 113,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,666.50 : 74,955.38 = 74,955.38 : x
  2. Step 2: Convert to fraction form
    49,666.50/74,955.38 = 74,955.38/x
  3. Step 3: Cross multiply
    49,666.50x = 74,955.38 × 74,955.38
  4. Step 4: Simplify right side
    49,666.50x = 5,618,308,241.39
  5. Step 5: Solve for x
    x = 5,618,308,241.39/49,666.50
  6. Step 6: Final answer
    x = 113,120.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.