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Finding the Third Proportional to 51,170 and 71,955.50

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Solution

The third proportional to 51,170 and 71,955.50 is: 101,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 71,955.50 = 71,955.50 : x
  2. Step 2: Convert to fraction form
    51,170/71,955.50 = 71,955.50/x
  3. Step 3: Cross multiply
    51,170x = 71,955.50 × 71,955.50
  4. Step 4: Simplify right side
    51,170x = 5,177,593,980.25
  5. Step 5: Solve for x
    x = 5,177,593,980.25/51,170
  6. Step 6: Final answer
    x = 101,184.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.