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Finding the Third Proportional to 79,339.50 and 120,465

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Solution

The third proportional to 79,339.50 and 120,465 is: 182,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,339.50 : 120,465 = 120,465 : x
  2. Step 2: Convert to fraction form
    79,339.50/120,465 = 120,465/x
  3. Step 3: Cross multiply
    79,339.50x = 120,465 × 120,465
  4. Step 4: Simplify right side
    79,339.50x = 14,511,816,225
  5. Step 5: Solve for x
    x = 14,511,816,225/79,339.50
  6. Step 6: Final answer
    x = 182,907.84

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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.