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Finding the Third Proportional to 31,156.75 and 67,952.75

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Solution

The third proportional to 31,156.75 and 67,952.75 is: 148,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.75 : 67,952.75 = 67,952.75 : x
  2. Step 2: Convert to fraction form
    31,156.75/67,952.75 = 67,952.75/x
  3. Step 3: Cross multiply
    31,156.75x = 67,952.75 × 67,952.75
  4. Step 4: Simplify right side
    31,156.75x = 4,617,576,232.56
  5. Step 5: Solve for x
    x = 4,617,576,232.56/31,156.75
  6. Step 6: Final answer
    x = 148,204.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.