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Finding the Third Proportional to 68,953.50 and 107,197.50

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Solution

The third proportional to 68,953.50 and 107,197.50 is: 166,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,953.50 : 107,197.50 = 107,197.50 : x
  2. Step 2: Convert to fraction form
    68,953.50/107,197.50 = 107,197.50/x
  3. Step 3: Cross multiply
    68,953.50x = 107,197.50 × 107,197.50
  4. Step 4: Simplify right side
    68,953.50x = 11,491,304,006.25
  5. Step 5: Solve for x
    x = 11,491,304,006.25/68,953.50
  6. Step 6: Final answer
    x = 166,652.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.