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Finding the Third Proportional to 91,672.50 and 136,942.50

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Solution

The third proportional to 91,672.50 and 136,942.50 is: 204,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,672.50 : 136,942.50 = 136,942.50 : x
  2. Step 2: Convert to fraction form
    91,672.50/136,942.50 = 136,942.50/x
  3. Step 3: Cross multiply
    91,672.50x = 136,942.50 × 136,942.50
  4. Step 4: Simplify right side
    91,672.50x = 18,753,248,306.25
  5. Step 5: Solve for x
    x = 18,753,248,306.25/91,672.50
  6. Step 6: Final answer
    x = 204,567.87

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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.