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Finding the Third Proportional to 45,144 and 67,718.25

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Solution

The third proportional to 45,144 and 67,718.25 is: 101,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,144 : 67,718.25 = 67,718.25 : x
  2. Step 2: Convert to fraction form
    45,144/67,718.25 = 67,718.25/x
  3. Step 3: Cross multiply
    45,144x = 67,718.25 × 67,718.25
  4. Step 4: Simplify right side
    45,144x = 4,585,761,383.06
  5. Step 5: Solve for x
    x = 4,585,761,383.06/45,144
  6. Step 6: Final answer
    x = 101,580.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.