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Finding the Third Proportional to 57,727.69 and 112,539.38

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Solution

The third proportional to 57,727.69 and 112,539.38 is: 219,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727.69 : 112,539.38 = 112,539.38 : x
  2. Step 2: Convert to fraction form
    57,727.69/112,539.38 = 112,539.38/x
  3. Step 3: Cross multiply
    57,727.69x = 112,539.38 × 112,539.38
  4. Step 4: Simplify right side
    57,727.69x = 12,665,110,925.39
  5. Step 5: Solve for x
    x = 12,665,110,925.39/57,727.69
  6. Step 6: Final answer
    x = 219,394.05

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.