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Finding the Third Proportional to 73,393.50 and 113,406

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Solution

The third proportional to 73,393.50 and 113,406 is: 175,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,393.50 : 113,406 = 113,406 : x
  2. Step 2: Convert to fraction form
    73,393.50/113,406 = 113,406/x
  3. Step 3: Cross multiply
    73,393.50x = 113,406 × 113,406
  4. Step 4: Simplify right side
    73,393.50x = 12,860,920,836
  5. Step 5: Solve for x
    x = 12,860,920,836/73,393.50
  6. Step 6: Final answer
    x = 175,232.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.