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Finding the Third Proportional to 76,791.50 and 114,595

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Solution

The third proportional to 76,791.50 and 114,595 is: 171,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.50 : 114,595 = 114,595 : x
  2. Step 2: Convert to fraction form
    76,791.50/114,595 = 114,595/x
  3. Step 3: Cross multiply
    76,791.50x = 114,595 × 114,595
  4. Step 4: Simplify right side
    76,791.50x = 13,132,014,025
  5. Step 5: Solve for x
    x = 13,132,014,025/76,791.50
  6. Step 6: Final answer
    x = 171,008.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.