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Finding the Third Proportional to 65,072.95 and 131,957.02

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Solution

The third proportional to 65,072.95 and 131,957.02 is: 267,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,072.95 : 131,957.02 = 131,957.02 : x
  2. Step 2: Convert to fraction form
    65,072.95/131,957.02 = 131,957.02/x
  3. Step 3: Cross multiply
    65,072.95x = 131,957.02 × 131,957.02
  4. Step 4: Simplify right side
    65,072.95x = 17,412,653,972.66
  5. Step 5: Solve for x
    x = 17,412,653,972.66/65,072.95
  6. Step 6: Final answer
    x = 267,586.66

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.