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Finding the Third Proportional to 56,683.50 and 123,573

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Solution

The third proportional to 56,683.50 and 123,573 is: 269,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,683.50 : 123,573 = 123,573 : x
  2. Step 2: Convert to fraction form
    56,683.50/123,573 = 123,573/x
  3. Step 3: Cross multiply
    56,683.50x = 123,573 × 123,573
  4. Step 4: Simplify right side
    56,683.50x = 15,270,286,329
  5. Step 5: Solve for x
    x = 15,270,286,329/56,683.50
  6. Step 6: Final answer
    x = 269,395.61

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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.