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Finding the Third Proportional to 76,950.75 and 118,200.38

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Solution

The third proportional to 76,950.75 and 118,200.38 is: 181,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,950.75 : 118,200.38 = 118,200.38 : x
  2. Step 2: Convert to fraction form
    76,950.75/118,200.38 = 118,200.38/x
  3. Step 3: Cross multiply
    76,950.75x = 118,200.38 × 118,200.38
  4. Step 4: Simplify right side
    76,950.75x = 13,971,328,650.14
  5. Step 5: Solve for x
    x = 13,971,328,650.14/76,950.75
  6. Step 6: Final answer
    x = 181,561.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.