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Finding the Third Proportional to 83,568.50 and 125,752

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Solution

The third proportional to 83,568.50 and 125,752 is: 189,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.50 : 125,752 = 125,752 : x
  2. Step 2: Convert to fraction form
    83,568.50/125,752 = 125,752/x
  3. Step 3: Cross multiply
    83,568.50x = 125,752 × 125,752
  4. Step 4: Simplify right side
    83,568.50x = 15,813,565,504
  5. Step 5: Solve for x
    x = 15,813,565,504/83,568.50
  6. Step 6: Final answer
    x = 189,228.78

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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.