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Finding the Third Proportional to 49,420.97 and 75,294.56

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Solution

The third proportional to 49,420.97 and 75,294.56 is: 114,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420.97 : 75,294.56 = 75,294.56 : x
  2. Step 2: Convert to fraction form
    49,420.97/75,294.56 = 75,294.56/x
  3. Step 3: Cross multiply
    49,420.97x = 75,294.56 × 75,294.56
  4. Step 4: Simplify right side
    49,420.97x = 5,669,271,142.07
  5. Step 5: Solve for x
    x = 5,669,271,142.07/49,420.97
  6. Step 6: Final answer
    x = 114,713.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.