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Finding the Third Proportional to 75,943.13 and 175,814.44

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Solution

The third proportional to 75,943.13 and 175,814.44 is: 407,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,943.13 : 175,814.44 = 175,814.44 : x
  2. Step 2: Convert to fraction form
    75,943.13/175,814.44 = 175,814.44/x
  3. Step 3: Cross multiply
    75,943.13x = 175,814.44 × 175,814.44
  4. Step 4: Simplify right side
    75,943.13x = 30,910,716,433.44
  5. Step 5: Solve for x
    x = 30,910,716,433.44/75,943.13
  6. Step 6: Final answer
    x = 407,024.55

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.