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Finding the Third Proportional to 76,900.88 and 120,391.50

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Solution

The third proportional to 76,900.88 and 120,391.50 is: 188,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,900.88 : 120,391.50 = 120,391.50 : x
  2. Step 2: Convert to fraction form
    76,900.88/120,391.50 = 120,391.50/x
  3. Step 3: Cross multiply
    76,900.88x = 120,391.50 × 120,391.50
  4. Step 4: Simplify right side
    76,900.88x = 14,494,113,272.25
  5. Step 5: Solve for x
    x = 14,494,113,272.25/76,900.88
  6. Step 6: Final answer
    x = 188,477.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.