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Finding the Third Proportional to 51,995.25 and 83,711.25

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Solution

The third proportional to 51,995.25 and 83,711.25 is: 134,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,995.25 : 83,711.25 = 83,711.25 : x
  2. Step 2: Convert to fraction form
    51,995.25/83,711.25 = 83,711.25/x
  3. Step 3: Cross multiply
    51,995.25x = 83,711.25 × 83,711.25
  4. Step 4: Simplify right side
    51,995.25x = 7,007,573,376.56
  5. Step 5: Solve for x
    x = 7,007,573,376.56/51,995.25
  6. Step 6: Final answer
    x = 134,773.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.