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Finding the Third Proportional to 76,078.50 and 111,300.75

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Solution

The third proportional to 76,078.50 and 111,300.75 is: 162,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078.50 : 111,300.75 = 111,300.75 : x
  2. Step 2: Convert to fraction form
    76,078.50/111,300.75 = 111,300.75/x
  3. Step 3: Cross multiply
    76,078.50x = 111,300.75 × 111,300.75
  4. Step 4: Simplify right side
    76,078.50x = 12,387,856,950.56
  5. Step 5: Solve for x
    x = 12,387,856,950.56/76,078.50
  6. Step 6: Final answer
    x = 162,829.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.