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Finding the Third Proportional to 49,706.16 and 75,283.17

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Solution

The third proportional to 49,706.16 and 75,283.17 is: 114,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706.16 : 75,283.17 = 75,283.17 : x
  2. Step 2: Convert to fraction form
    49,706.16/75,283.17 = 75,283.17/x
  3. Step 3: Cross multiply
    49,706.16x = 75,283.17 × 75,283.17
  4. Step 4: Simplify right side
    49,706.16x = 5,667,555,967.56
  5. Step 5: Solve for x
    x = 5,667,555,967.56/49,706.16
  6. Step 6: Final answer
    x = 114,021.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.