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Finding the Third Proportional to 54,310.13 and 75,872.63

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Solution

The third proportional to 54,310.13 and 75,872.63 is: 105,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,310.13 : 75,872.63 = 75,872.63 : x
  2. Step 2: Convert to fraction form
    54,310.13/75,872.63 = 75,872.63/x
  3. Step 3: Cross multiply
    54,310.13x = 75,872.63 × 75,872.63
  4. Step 4: Simplify right side
    54,310.13x = 5,756,655,224.39
  5. Step 5: Solve for x
    x = 5,756,655,224.39/54,310.13
  6. Step 6: Final answer
    x = 105,995.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.