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Finding the Third Proportional to 75,562.88 and 102,257.44

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Solution

The third proportional to 75,562.88 and 102,257.44 is: 138,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,562.88 : 102,257.44 = 102,257.44 : x
  2. Step 2: Convert to fraction form
    75,562.88/102,257.44 = 102,257.44/x
  3. Step 3: Cross multiply
    75,562.88x = 102,257.44 × 102,257.44
  4. Step 4: Simplify right side
    75,562.88x = 10,456,583,524.07
  5. Step 5: Solve for x
    x = 10,456,583,524.07/75,562.88
  6. Step 6: Final answer
    x = 138,382.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.